{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import time\n",
    "from PIL import Image\n",
    "from PIL import ImageDraw\n",
    "plt.style.use({'figure.figsize':(10, 10)})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Q-Table One"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Q-table One is used to void the obstacles automatically.\n",
    "### Columns:Nearest|Near|Medium|Far\n",
    "##### Columns register the states\n",
    "### Rows:Up|Down|Turn_left_45 degree|Turn_right_45_degree\n",
    "##### Rows register the actions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [],
   "source": [
    "#constant\n",
    "Epsilon_start=1\n",
    "Epsilon_final=0.01\n",
    "Decay_Rate=0.000001#he dacaying rate of the Epsilon, the range of the epsilon is 0.01-1, initially it is 1.\n",
    "Action_times=0 #Rigister the totality of the times of selecting actions, including the random selections and selection based on Q_Table\n",
    "Velocity_tripod=0.289*40\n",
    "Up_D=np.array([-40,-20,0,20,40])\n",
    "Left_D=np.array([-60,-80,-100,-120])\n",
    "Right_D=np.array([60,80,100,120])\n",
    "Robot_R=40\n",
    "Beta=0.9\n",
    "Alpha=0.2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Nearest(<50cm)||Near(50cm-130cm)||Medium(130cm-210cm)|Far(>210cm)\n",
    "#Safe distance=1cm\n",
    "States=np.array(['L0R0U0','L0R0U1','L0R0U2','L0R0U3',\n",
    "                'L0R1U0','L0R1U1','L0R1U2','L0R1U3',\n",
    "                'L0R2U0','L0R2U1','L0R2U2','L0R2U3',\n",
    "                'L0R3U0','L0R3U1','L0R3U2','L0R3U3',\n",
    "                'L1R0U0','L1R0U1','L1R0U2','L1R0U3',\n",
    "                'L1R1U0','L1R1U1','L1R1U2','L1R1U3',\n",
    "                'L1R2U0','L1R2U1','L1R2U2','L1R2U3',\n",
    "                'L1R3U0','L1R3U1','L1R3U2','L1R3U3',\n",
    "                'L2R0U0','L2R0U1','L2R0U2','L2R0U3',\n",
    "                'L2R1U0','L2R1U1','L2R1U2','L2R1U3',\n",
    "                'L2R2U0','L2R2U1','L2R2U2','L2R2U3',\n",
    "                'L2R3U0','L2R3U1','L2R3U2','L2R3U3',\n",
    "                'L3R0U0','L3R0U1','L3R0U2','L3R0U3',\n",
    "                'L3R1U0','L3R1U1','L3R1U2','L3R1U3',\n",
    "                'L3R2U0','L3R2U1','L3R2U2','L3R2U3',\n",
    "                'L3R3U0','L3R3U1','L3R3U2','L3R3U3'])\n",
    "Actions=np.array(['Up','Down','Left_45D','Right_45D'])\n",
    "Actions_len=len(Actions)\n",
    "States_len=len(States)\n",
    "# print(Actions_len)\n",
    "# print(States_len)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Up</th>\n",
       "      <th>Down</th>\n",
       "      <th>Left_45D</th>\n",
       "      <th>Right_45D</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>L0R0U0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L0R0U1</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L0R0U2</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L0R0U3</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L0R1U0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         Up  Down  Left_45D  Right_45D\n",
       "L0R0U0  0.0   0.0       0.0        0.0\n",
       "L0R0U1  0.0   0.0       0.0        0.0\n",
       "L0R0U2  0.0   0.0       0.0        0.0\n",
       "L0R0U3  0.0   0.0       0.0        0.0\n",
       "L0R1U0  0.0   0.0       0.0        0.0"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q_Table_Real=np.zeros((States_len,Actions_len))\n",
    "Q_Table_Real=pd.DataFrame(Q_Table_Real,columns=Actions,index=States)\n",
    "Q_Table_Real.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Succeed to initialize Q-Table!\n",
      "***********************************************************\n",
      "(64, 4)\n",
      "[[ 0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.]\n",
      " [ 0.  0.  0.  0.]]\n"
     ]
    }
   ],
   "source": [
    "def Initial_Q_Table(Actions_len_,States_len_):\n",
    "    Q_Table_=np.zeros((States_len_,Actions_len_))\n",
    "    print('***********************************************************')\n",
    "    print(\"Succeed to initialize Q-Table!\")\n",
    "    print('***********************************************************')\n",
    "    return Q_Table_\n",
    "Q_Table=Initial_Q_Table(Actions_len,States_len)\n",
    "print(Q_Table.shape)\n",
    "print(Q_Table[:10])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
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EEsDyiS1gh+MEl1gDeLpqrY09hvOqqgMPcOrfC6ybg55yR2QB66CqDnzf1trB77zf6049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\nDgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032e68518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Draw_map1 funcion is used to train the first Q-Table, which allows it to avoid obstacles\n",
    "im = Image.new(\"I\", size=(2000,2000),color=0) #Color means the degree of Gray scale, 255 means white, 0 means black\n",
    "draw = ImageDraw.Draw(im,mode='I') #mode=\"I\" means the made degree of Gray scale\n",
    "#Draw the black frame around the rectangle\n",
    "draw.rectangle((40,40,1960,1960),255,255)  #the last elements means the color of the inner graph and that of the outer frame\n",
    "def Draw_map1():\n",
    "    draw.ellipse((800,900,880,980),150, 150)\n",
    "    draw.rectangle((1500,1000,1650,1150),0, 0) \n",
    "    draw.ellipse((400,700,550,850),0, 0) \n",
    "    draw.rectangle((200,300,350,450),0, 0) \n",
    "    draw.ellipse((1500,500,1550,650),0, 0) \n",
    "    draw.ellipse((1200,1400,1350,1550),0, 0) \n",
    "    draw.rectangle((700,1200,850,1350),0, 0) \n",
    "    draw.ellipse((300,1600,450,1750),0, 0) \n",
    "    draw.rectangle((100,1100,250,1250),0, 0) \n",
    "    draw.ellipse((1100,250,1250,400),0, 0) \n",
    "    draw.polygon((900, 1070,1120, 1000,1150, 1100, 1100,1090,1050, 1200), 0, 0)\n",
    "    draw.pieslice((750, 1700, 900, 1850), 0,180,0,0)\n",
    "    draw.ellipse((900,550,1050,700),0, 0)\n",
    "    draw.ellipse((650,100,750,200),0, 0) \n",
    "    draw.rectangle((1700,130,1800,230),0, 0)\n",
    "    draw.polygon((150, 180, 200, 180, 250, 120, 230, 90, 130, 100), 0, 0)\n",
    "Draw_map1()\n",
    "plt.imshow(im)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Function Scan is used to detect the distance between obstacles and robot.\n",
    "#Nearest(<50cm)||Near(50cm-130cm)||Medium(130cm-210cm)|Far(>210cm)\n",
    "#Furthest scanning distance is defined as 290cm\n",
    "def Scan(Current_x,Current_y,Angle):\n",
    "    Dis_level=0\n",
    "    Obs_dis=Robot_R\n",
    "    Obs_line_x=[]\n",
    "    Obs_line_y=[]\n",
    "    Obs_dis_x=Current_x+Obs_dis*np.cos(Angle/180*np.pi)\n",
    "    Obs_dis_y=Current_y+Obs_dis*np.sin(Angle/180*np.pi)\n",
    "    while(im.getpixel((Obs_dis_x,Obs_dis_y))!=0 and Obs_dis<210):#getpixiel obtains the degree of Gray Scale\n",
    "        Obs_dis+=5  #Search interval, can be changed\n",
    "        Obs_dis_x=Current_x+Obs_dis*np.cos(Angle/180*np.pi)\n",
    "        Obs_line_x.append(Obs_dis_x)\n",
    "        Obs_dis_y=Current_y+Obs_dis*np.sin(Angle/180*np.pi)\n",
    "        Obs_line_y.append(Obs_dis_y)\n",
    "    if 0<=Obs_dis<90:\n",
    "        dis_level=0 #Nearear\n",
    "    elif 90<=Obs_dis<150:\n",
    "        dis_level=1 #Near\n",
    "    elif 150<=Obs_dis<210:\n",
    "        dis_level=2 #Medium\n",
    "    else:\n",
    "        dis_level=3 #Far\n",
    "#     Obs_line_xy=list(zip(Obs_line_x,Obs_line_y))\n",
    "#     draw.line(Obs_line_xy, width=12)\n",
    "    return dis_level\n",
    "# print(Scan(1133,1408,20))\n",
    "# plt.imshow(im)\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def Is_Crash(Current_x_,Current_y_):\n",
    "    Crash_=False\n",
    "    Degree=[-150,-120,-90,-60,-30,0,30,60,90,120,150,180]\n",
    "    Dis=np.arange(0,50,5)\n",
    "    for i in Dis:\n",
    "        for j in Degree:\n",
    "            x_=Current_x_+i*np.cos(j/180*np.pi)\n",
    "            y_=Current_y_+i*np.sin(j/180*np.pi)\n",
    "            if (im.getpixel((x_,y_)))==0:\n",
    "                Crash_=True\n",
    "                break\n",
    "        if Crash_==True:\n",
    "                break\n",
    "    return Crash_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(706.90136301034761, 1406.9478786112422, 0)\n"
     ]
    }
   ],
   "source": [
    "def Random_start():\n",
    "    Angle_=0\n",
    "    x_,y_=np.random.random(2)*2000\n",
    "    while(Is_Crash(x_,y_)==True):\n",
    "#         print('Boom')\n",
    "        x_,y_=np.random.random(2)*2000\n",
    "    return x_,y_,Angle_\n",
    "print(Random_start())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "LRU=[] #LRU register to maximum values of up, left, right.\n",
    "def Direction_min_level(Degree,Current_x,Current_y,Rotbot_angle):\n",
    "    Level=[]\n",
    "    Degree=Degree+Rotbot_angle\n",
    "    for i in Degree:\n",
    "        Level.append(Scan(Current_x,Current_y,i))\n",
    "    return min(Level)\n",
    "# Left_min=Direction_min_level(Left_D,1133,1408)\n",
    "# Right_min=Direction_min_level(Right_D,1133,1408) \n",
    "# Up_min=Direction_min_level(Up_D,1133,1408)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def Output_state_index(Left_min_,Right_min_,Up_min_):\n",
    "    LRU=[]\n",
    "    LRU.append(Left_min_)\n",
    "    LRU.append(Right_min_)\n",
    "    LRU.append(Up_min_)\n",
    "    return LRU[0]*16+LRU[1]*4+LRU[2]\n",
    "# print(Output_state_index(Left_min,Right_min,Up_min))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Choose_action is used to selection an action during the training process. It is based on the greedy strategy, if the random \n",
    "#chosen float(0-1) is inferior to current epsilon, robot choose random action to explore, if not, choose maximun Q value\n",
    "#action based on Q Table, more precisely based on the action-state range\n",
    "def Choose_action(Q_Table_,Current_state_,Action_times_):\n",
    "    Epsilon=Epsilon_final+(Epsilon_start-Epsilon_final)*np.exp(-1*Decay_Rate*Action_times_)\n",
    "    State_action_=Q_Table_[Current_state_,:]\n",
    "    if(np.random.random()<Epsilon or np.all(State_action_==[0])):\n",
    "        Action_next=np.random.randint(Actions_len)\n",
    "    else:\n",
    "        Action_next=np.argmax(State_action_)\n",
    "    return Action_next\n",
    "#print(Choose_action(Q_Table,20,0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def Next_state_F(Current_x_,Current_y_,Action_,Robot_angle_):\n",
    "    R=1\n",
    "    Crash_=False\n",
    "    if Action_==0:\n",
    "        Next_x_=Current_x_+Velocity_tripod*np.cos(Robot_angle_/180*np.pi)\n",
    "        Next_y_=Current_y_+Velocity_tripod*np.sin(Robot_angle_/180*np.pi)\n",
    "#         print(Next_x_)\n",
    "#         print(Next_y_)\n",
    "        if Is_Crash(Next_x_, Next_y_)==True:\n",
    "            Crash_=True\n",
    "            R=-500\n",
    "        else:\n",
    "            R=2\n",
    "    elif Action_==1:\n",
    "        Next_x_=Current_x_-Velocity_tripod*np.cos(Robot_angle_/180*np.pi)\n",
    "        Next_y_=Current_y_-Velocity_tripod*np.sin(Robot_angle_/180*np.pi)\n",
    "        if Is_Crash(Next_x_, Next_y_)==True:\n",
    "            Crash_=True\n",
    "            R=-500\n",
    "    elif Action_==2:\n",
    "        Robot_angle_=Robot_angle_-45\n",
    "        Next_x_=Current_x_\n",
    "        Next_y_=Current_y_\n",
    "    elif Action_==3:\n",
    "        Robot_angle_=Robot_angle_+45\n",
    "        Next_x_=Current_x_\n",
    "        Next_y_=Current_y_\n",
    "    return Next_x_,Next_y_,R,Robot_angle_,Crash_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#     Obs_line_xy=list(zip(Obs_line_x,Obs_line_y))\n",
    "#     draw1.line(Obs_line_xy, width=12)\n",
    "def Plot_Move(Vec_x_,Vec_y_):\n",
    "    im1=Image.new(\"I\", size=(2000,2000),color=0)\n",
    "    draw1 = ImageDraw.Draw(im1,mode='I')\n",
    "    draw1.rectangle((40,40,1960,1960),255,255)\n",
    "    draw1.rectangle((1500,1000,1650,1150),0, 0) \n",
    "    draw1.ellipse((400,700,550,850),0, 0) \n",
    "    draw1.rectangle((200,300,350,450),0, 0) \n",
    "    draw1.ellipse((1500,500,1550,650),0, 0) \n",
    "    draw1.ellipse((1200,1400,1350,1550),0, 0) \n",
    "    draw1.rectangle((700,1200,850,1350),0, 0) \n",
    "    draw1.ellipse((300,1600,450,1750),0, 0) \n",
    "    draw1.rectangle((100,1100,250,1250),0, 0) \n",
    "    draw1.ellipse((1100,250,1250,400),0, 0) \n",
    "    draw1.polygon((900, 1070,1120, 1000,1150, 1100, 1100,1090,1050, 1200), 0, 0)\n",
    "    draw1.pieslice((750, 1700, 900, 1850), 0,180,0,0)\n",
    "    draw1.ellipse((900,550,1050,700),0, 0)\n",
    "    draw1.ellipse((650,100,750,200),0, 0) \n",
    "    draw1.rectangle((1700,130,1800,230),0, 0)\n",
    "    draw1.polygon((150, 180, 200, 180, 250, 120, 230, 90, 130, 100), 0, 0)\n",
    "    draw1.ellipse((Vec_x_[0]-40,Vec_y_[0]-40, Vec_x_[0]+40,Vec_y_[0]+40),5,5) \n",
    "    for i,j in zip(Vec_x_[1:],Vec_y_[1:]):\n",
    "        draw1.ellipse((i-40,j-40, i+40,j+40),150,150) \n",
    "    plt.imshow(im1)\n",
    "    plt.show()\n",
    "    del draw1\n",
    "    del im1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Succeed to initialize Q-Table!\n",
      "***********************************************************\n"
     ]
    }
   ],
   "source": [
    "Q_Table=Initial_Q_Table(Actions_len,States_len)\n",
    "global Epoche\n",
    "Epoche=0\n",
    "global Action_times #Rigister the totality of the times of selecting actions, including the random selections and selection based on Q_Table\n",
    "Action_times=0\n",
    "global Epoche_action_interval\n",
    "Epoche_action_interval=[]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "***********************************************************\n",
      "Epoche\n",
      "120\n",
      "Action_times\n",
      "99943\n",
      "Epsilon\n",
      "0.905840105286\n"
     ]
    },
    {
     "data": {
      "image/png": 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90wEAmJbTjGx9IMmdR6a9O8mnWmu3JvnU8HOq6rYkdyV55XCbX6+qG4bbXErytiS3Dqej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\nO22t3ZPkniSpKp/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0338a89e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "130\n",
      "Action_times\n",
      "109104\n",
      "Epsilon\n",
      "0.89767079076\n"
     ]
    },
    {
     "data": {
      "image/png": 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5PvTpJrEktKZFbAGTdMxQEl3MlfOolsFhRGBS+o4i2wnOTf0w4mWWeB7VkJyztYXYgvUY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\nElsAAD0SWwAAPRJbAAA9ElsAAD36/wFhDT7kwREE4AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032e68668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "140\n",
      "Action_times\n",
      "128486\n",
      "Epsilon\n",
      "0.880631615552\n"
     ]
    },
    {
     "data": {
      "image/png": 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QN9qk8Q0KW2b2NkmPSfpAs+mUpJ9w90sl/aakD5rZ2X0f192PuPtBdz84pHxA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\nCOj/A53hZXHwUMZhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0338a8da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "150\n",
      "Action_times\n",
      "135282\n",
      "Epsilon\n",
      "0.874734862953\n"
     ]
    },
    {
     "data": {
      "image/png": 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/GdyuZ0bONjo7tuWby03V1cVTa24Q1QG4nrA1E3ZoTI06Cf1ac4hfGmFr4jRo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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032b58ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "160\n",
      "Action_times\n",
      "144610\n",
      "Epsilon\n",
      "0.866706120423\n"
     ]
    },
    {
     "data": {
      "image/png": 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pGkxr7ekkT2+e/1ZVPZbkpUmeyK1djXdtpgEALNpBl36oqlcl+RtJvrO19u+3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\nAQD06P8HbAtePuX3oywAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a03354f828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "170\n",
      "Action_times\n",
      "151352\n",
      "Epsilon\n",
      "0.860949634677\n"
     ]
    },
    {
     "data": {
      "image/png": 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mGC5TiZipzFsANnfn2BPAtPQeA1OJqpucnp7O4nkAcEZssbHeQmvbIJnCsVsA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\nAf3/Kwn45T7NHlQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a03429db38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "180\n",
      "Action_times\n",
      "160940\n",
      "Epsilon\n",
      "0.852829718662\n"
     ]
    },
    {
     "data": {
      "image/png": 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nZ13V1a6d3xzuZrWm7e1CT23pJoIWPN0++9bW2mA7YiNbLNqcOkcYiqAFfRG2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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032a41278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "190\n",
      "Action_times\n",
      "171172\n",
      "Epsilon\n",
      "0.844249854421\n"
     ]
    },
    {
     "data": {
      "image/png": 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D6sJ15aa9HcaWq6mOE8p3N6nVS5henzrH3SeroIoPWxIVTYpSqtQoH9Ppu19TCVt96sHU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\nAEBAhC0AAICA/j9bLfFe5GFv1gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032b48828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "200\n",
      "Action_times\n",
      "186432\n",
      "Epsilon\n",
      "0.83161584431\n"
     ]
    },
    {
     "data": {
      "image/png": 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G2YgTq6EChaw8NZQfzokVtNpSaDcQR6izEfsoqc3LIVjFOhuRka2JlFRhYqEM65JC0Fr/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\n2usXjAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0338c3978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "210\n",
      "Action_times\n",
      "205803\n",
      "Epsilon\n",
      "0.81585348302\n"
     ]
    },
    {
     "data": {
      "image/png": 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wVae5QtYyykAaY8LPmICx/Poprx0rRBAicAFpEbbWIGzVJ1TQ6qMshDc2+KQKFbsEiFDr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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032ddb320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "220\n",
      "Action_times\n",
      "213660\n",
      "Epsilon\n",
      "0.809546700842\n"
     ]
    },
    {
     "data": {
      "image/png": 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M0EXh6OjoaOuTwh4q1LbWUlUHea/z7wvQtxp7ZVNVGxdw7OtC95xR/jHbBKNNttsQvYeH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\ntgAAevT/A7FWL4mJAWy/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a03364d4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "230\n",
      "Action_times\n",
      "227625\n",
      "Epsilon\n",
      "0.798458633793\n"
     ]
    },
    {
     "data": {
      "image/png": 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7v7e1tvuLb6Bli+6d8uKgvR7MrjsLcsl2WRdrKAfGd8rjwMVnHbOt9npc4nSM\n2RqInWcYl8daXfy/hzFYp7SkZblsn3W15HLogTB7Oi54zJ1o2RqAnWd415Xxkm6Rc4pfzL04Zp84\nphxu+t4llC37GfL4bAwm1zFmawDCVl9OfWHSKcz1AH7qMt+1HPb93qV2T9/JXLepY4y1nobaTtmf\nMVswkiX82hyrlWufg/9N8zJVRXLI9x46r3PdruY633OxyzFH0FoXLVsnZgdiLKeqMI/dZi/Px9D7\nwJ2W2/53Z2sOWbaNddKyBRzl2Ba7U97vsQe9zEdv1hywoBfORoQZW2PAuO4eljzu7OzsCw9sH0xP\n2IKZ27cicZkMgHHpRjwBB3umttYBuUtcpmNpzYL+CFtHcrCnd7ZRgGkJWwdSgTEHS91Ol7pcY9n1\njKwezvCGQ/XUymvM1gEc6OnR5e3Sdro+11UuVXXbY1eHvg+4nbAFsGCnDEkCF3PRU6tWohtxL1oK\nmAvb6vocc/HGfVSV7kXYk5atHam8gF6NFbS2P39OrVy9tXIwrB7Xt7AFC+OHwbqMHbSm+i7YRY9B\nKxG2dqLyAuZgivAzl8DVayXMafR+xwRjtmAhzs7O/DBYsSlDj3FcTKHncHWZsAULIWitz0Vl00Pr\nksDFWOYUsi7oRryBCgzoWQ9BC7gzYQsWYI6/9NbolONKelznPQc/P5yZkrAFM9djpcudHbvOeuo+\nvKzHeYKpCVswYxeVrl/t6yFcw/xU7wMaq2rnGRxiWVRiwClcF5J2PcZc9f5eW5F6rFccy5fnkB8e\n++wzrbWT7WDORgSY0OUKYzsU3Kky6TVoJc5MZByXA3TPrb7CFsDA9qkEeq4woGfn5+fd7j/GbAEM\nqNeDPyxRr93FwhbADQ4NTIIWjK/HwCVsAdxg34P30Pdp63m8FvSgt8BlzBbAHrZD1K6D2Zmee4cy\nJWEL4EACFvSrpwHzuhEB9qB1ZL56qXhZH2ELAGBAriC/A79kgcumbiXpfZB8b3WL4/h6be+rU11B\n/saWrap6Q1V9uqo+vDXt9VX1aFU9tHm8dOtvr6uqh6vqY1X1bVvTX1BVH9r87Ser9yMFALN3fn4u\naDG5XboR35jkJVdM/99ba8/fPH41SarquUnuS/K8zXt+uqru2rz+PMn3JXnW5nHVZwLASQhZ9OLG\nsNVa+40kf7rj570syVtba59trf1BkoeTvKiq7kny5Nbae9uttuU3J3n5oTM9tqm7C4D+qMivN2UX\n4kVLlvUvs8jlAAASAUlEQVRDT4659MMPVtUrkzyY5O+01v6fJPcmee/Wax7ZTPuzzfPL069UVfcn\nuf+IeQPoyk2V/74/6lpr3Y/bGpuARa8OPRvxPMkzkzw/yWNJfvxkc5SktfZAa+2FrbUXnvJzjzFG\n69bQV50GTmuXyn3XVhatMcdRdvTsoJat1tqnLp5X1c8m+b82/300ydO2XvrUzbRHN88vT5+ViyB0\nyE4tRMF6HFPxX7x3l2NGj61bU3QhClr07qCwVVX3tNYe2/z3u5JcnKn4jiS/UFU/keSrc2sg/Pta\na5+vqs9U1YuT/FaSVyb5P46b9ensc9sHIQvW4dQVfk9Xv+6ZoMUc3Bi2quotSf56kq+sqkeS/P0k\nf72qnp+kJflkkr+dJK21j1TV25J8NMnnkrymtfb5zUf9QG6d2fjFSd65eczWdfdHu/w3YNmmrux7\nat0au1Vr6rKHXbmoaaccRIBktx9vPYStfY6/p/iB6hjJLi5vW1Nd1NSNqAE6tkt3Yk+tW3dyXUDa\nnq5ngCVyb8ROOeAA+5iyZf+m797nTMtdz9yEOdGyBbAQU7Rw3SloHRqKhClOoadGCy1bAJ3bJ3yM\n2cI1RNCCJRK2OtZTKmfebEvr0lobNHTd9PmCFlPr7ZgnbMGCbd+VoLeDD/s5JMCcOnTt8nmCFjyR\nsNU5FSSndMj25DZS83eKwLWkS+uwfL2FftfZmpEhN55jbkVE364LSrus6ztdvJfpnCL83jSQ/pDj\nqW2Enly1n0x1nS1ha4ZOdUA7phJmPk7VKmW76FcPLY+2D3rTU9hy6YcZ2qUV6pjbCWnlgnmZ+qKg\njhVwZ8LWjO16UD304Lvv+xxwYXoX+2EPrV3ALQbIczIGUkM/xvjxs8+V4WFMvdVFxmwxCAfgvhi3\ntV5u8swaXbfdTzVmS8sWg7ho5ert18VaqTzXa991b1uB0xO2ABZu15s7C1osQY8/8g2QB1gBQQqm\no2ULAFiEHlu1EmEL2EOvBzKAno9PwhYAwICELWAvPf96BNap9+OSsMXget8JAJivOdQxzkZkJzdd\nCM4FZQEY2xyCVqJlizuoqi88jn3tXHaIpTp1+VufwNTmdBzSssUT7HM7g5ver8ULgFObU9BKtGyx\nZddWrH0/88Lcdo6lUO7AkszxmOZG1CQ5vjVrFxfrx5WsxzP0Qcm6BMZyiuPZVDeiFrZWboyQtU3g\nGs9Yv/6sS2Aopz6OCVvXELaGM3bQuiBwDW/sZnbrEjiloY5hU4UtY7ZWaqqgNfV3r8EU4xnmOIYC\nYCzCFpOoqpydnamkT2zK8tx1fVrnwNroRlyhXlqWLq8vXVHHmVOIsa6B6wx5LNONyOr0EvqWYE5B\nC+A6Sz2WCVsrI+AszxwPTnOcZ4BDCVsr0mPQctHT4ygzYCmWfDxzux6YoSUclM7OzozdAhZxPLuJ\nsMXkqsrJDTtaw0EJYGmcjbgSPXYhbtted0tt7bgISocs35JD1lLXN3CzsY9triB/DWHrNIStaV13\nQNle1svdaksOWJctcZ0DdzbFMU7YuoawdRpzClvJsirfNYWmYy1pvQN3tqaw5WxEunB5B1hKQFnK\ncoxFeQFLJGzRrblXvHOf/6koN1iHNbVkC1t0ba4V71znuxfumwksiTFbK9H7mK1kt/XX8y8h4WA4\n+6z3XU5GAPrgbMROCFunsZSwlRxe8Z6yshWspnHTOrxqvQhZ0C9hqxPC1mn0HrYOXXdXVaR32nlP\nVfEKW/0TsqBvazobUdhaiaWGrUMcWwkLWv0TtKB/awpbBsizOsfs4IIWwPHWdiwVtlilQ3b0tR0c\n5kqrFtAb3Ygr0mtX4tTr7ZBB1/RJ0IL+TXlMnaob8e5TfRDMlTAFMI61Hm91I67I1C1IAKzXWoNW\nImwxMQEQYPnWHLQS3Yir01rrduwWAMuw9nB1mbDFZLRqASyLkHU13Ygr1EPI6WEeADgdQet6wtZK\nTRl2BC2AZRG07kzYWrEpQo+gBbAsgtbNhK2VGzP8CFoMzUEfxmWf240B8nwhBA15lqKgBbAMAtb+\nbgxbVfWGJN+R5NOtta/dTPvFJM/ZvOTLkvy/rbXnV9XTk/xOko9t/vbe1tr3b97zgiRvTPLFSX41\nyQ81NXBXhrgshFXMmNyuB05PuDreLi1bb0zyU0nefDGhtfbfXjyvqh9P8m+2Xv+J1trzr/ic8yTf\nl+S3citsvSTJO/efZYZ0ylYuQQtgua77cSOcPdGNYau19hubFqsnqFs18ncn+a/u9BlVdU+SJ7fW\n3rv5/5uTvDzCVre2g9KuwUu4Ali2XVqPL14jdD3u2AHy35DkU621j29Ne0ZVPVRVv15V37CZdm+S\nR7Ze88hm2pWq6v6qerCqHjxy/jiB1tpOD4AenZ2dqfgPtF1u+3bTn5+f69rfOHaA/CuSvGXr/48l\n+ZrW2p9sxmj986p63r4f2lp7IMkDSVJVanEADiJkHecUYen8/Hz16+Hglq2qujvJ30zyixfTWmuf\nba39yeb5+5N8Ismzkzya5Klbb3/qZhoAsHBrb+E6phvxm5P8bmvtC92DVfVVVXXX5vkzkzwrye+3\n1h5L8pmqevFmnNcrk/zKEd8NADALN4atqnpLkt9M8pyqeqSqXr350325vQsxSb4xyQer6qEk/yzJ\n97fW/nTztx9I8k+SPJxbLV4GxwMwmrV3ZU1tza1bu5yN+Iprpn/vFdPenuTt17z+wSRfu+f8AcDJ\nnJ2drbrSZxpu1wMshpYLdmE7mc5ag66wBQtSVd0/oAcCF2MStoBFUYly4aZtwbbCWIQtYHFUouzK\ntsIYhC1gkVSiQC+ELVgQt026ncC1Xvuse7fzYWjCFjCascPgWs98WjvBqV9rXTfCFrBIgtY6rbUy\np2/CFgCzd4quQEFtWGsu3xuvIA/MS2uty+tZjdmFqFVrPdZcgTMfWrYAmKUhgpbwxhC0bMEC9da6\n5SxJTmWMMDTU/RMv5l3L6/po2YKF6iXg9DIfzN+YrU6n/C6XlkDLFgBdmyqoHNsSdd18D9VyRr+E\nLViwqbsTtWpxjF5ag7bn46aQtMs8C1rrI2zBwk0VuAQtlujYAChorZMxW7ACYwcfQQueSNBaL2EL\nVmKsACRocQq9dCFyGmtfn8IWrEhrbbAwNORn72vtB3b6o1Vr3YzZghW6CEWnGMvVS8AC6JWWLVix\nY1qjemrJuorWrfmy7pbF+tSyBUTrFP1QMS+L9XmLli0AgAEJW8Bi+VU9L9bXslifj9ONCMCkVMrL\nYn0+kZYtYNEc+IGpCVvA4glc/bJuluPs7Mz6vIawBayCSqA/1slyWJd3JmwBq6FC6Mea1sXSrx6/\npnV5KAPkgVU5OztbfOXXK5Xy8linu6neL2ZYVTvPYO/LAvRD4BqWSnj529gc1/E+tyhrrR1/P7MN\nLVvAKmnhGsYcK2D2Yx3vT8sWsHr7hK6LikZQu50K+HZL3D6WsI61bAFM5KYAdVUlc6eKZ4kV7Z0s\noRKGIQlbABtCw/6U2ROtLWxzM5d+ADgxAQTYJmwBDEDgYklsz8cRtgAGooICEmELYFACF3NnGz6e\nsAUwsCkqKzcFhn4IWwAjGDP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      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a03368ff60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "240\n",
      "Action_times\n",
      "237459\n",
      "Epsilon\n",
      "0.790742931875\n"
     ]
    },
    {
     "data": {
      "image/png": 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b2x9I8skkL0jyaG4danzOZhkAMKK5B5UlOChsVdUrkvz9JN/WWvuPW8u/qqqe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\nRc5ed+kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032dd66a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "250\n",
      "Action_times\n",
      "250716\n",
      "Epsilon\n",
      "0.780460927679\n"
     ]
    },
    {
     "data": {
      "image/png": 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zhvliRXZycqLR3jh0PVy1jsdgmwGcMYxId9bQSO8bduY2FDeneYV9Kd/sS9ji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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0334529b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "260\n",
      "Action_times\n",
      "255863\n",
      "Epsilon\n",
      "0.776505553172\n"
     ]
    },
    {
     "data": {
      "image/png": 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1uYZWr6NaSd/zBmMQW8BszTW0gGkRWwCdE1owbWILmKU5jWoB0ya2ACbGPlEw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\nycdaa/9o7UfvTPKq1fevSvJ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032c145f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "270\n",
      "Action_times\n",
      "265089\n",
      "Epsilon\n",
      "0.769466294968\n"
     ]
    },
    {
     "data": {
      "image/png": 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IG5W+5g48HMoPlCfaNpGwBQTXZT5Q+zHRNjKlY74WUuCM8mUhbAFBDd3Qrp6XQ+iae1Rr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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032b68f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "280\n",
      "Action_times\n",
      "274956\n",
      "Epsilon\n",
      "0.762009489682\n"
     ]
    },
    {
     "data": {
      "image/png": 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haD3Yfn6Oc2IjrjMT5FGUiAdZNOsq4i4XGB3rIqQELfZBHxzT/Yz9hZMvsOOw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\nCwAAYEL/H/YZlJ6F+BeVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032e68438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "290\n",
      "Action_times\n",
      "281876\n",
      "Epsilon\n",
      "0.756823548066\n"
     ]
    },
    {
     "data": {
      "image/png": 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XXCIMMbUIYGnVhS0A84octFK+H4B6VRW2GCVZVg47X2PfVN9VLkEr9fsCqEs1YYugtawp\nOm++s7OWCK5j3yO3oBXl/QGUr5qwBWC3oYGJUUwA2K7aUz9gPnS8eVt/f11GFiOd3mEMM+O0EABm\nY9EbGDPrvIJHfRampOY3R8jieys3vEYJWmvR20JMb2gdpK7kq8937u6TNVJMIwKBlRq0IooW/gCU\ng7CFSRAKpldymUYNNlHXC0De2GcLo5QcCFKhTIFluHvvgM0UIoYgbGGwpU5HUMN+WwQsACgXYQtH\nIgTMp9ayZaoOQG2qORpR4si2bXLo9HP97nIo26XlELait4uYDtOIdUl1NCIjWxUjCMyL8gUASJUd\njUjndxZlAQDAMqoKW9gPWTkGrRzXGUB8faYFmULEUEwjVoKwsizKGwCwRtgqWGkdfi2ngQAAlIWw\nVZjSAtamHAJX6d8BUJouJzdlChFjVHXqh7XonfVQNXXyQ77DdvnMVQdq+g6G4tQPiIiwVQdO/YDB\nauzguwanpcqmxu+gVHSqdTpqdIs6gbGqHNmSyhndopMfZ2w9oPyHiTy6Fb1NxHwIW+VjZGtBJQQt\nOvm0KH+gPIeNbhG0MIXqRrZKCFqb6PjH61ovKOtpMLIFIIVUI1vVhK0SQ1YbIWA6m3WFsp1e1LAV\nvT0EMA5hawvCVneEAuQkYuCK3h4CGCdV2Kricj01BC2pns+JMkQLNtHWB0A5qtxBHhijS6hllDEv\nBC0Ac6piGrG2ER86+ulxioj5RJhOjN4OApgGp36YSW1BC9Oaqv6sX4fQ9URdLpUy9/sDwJyKD1vA\nEHOFdELX4VIFLoIWgCUUP41Y68gWnflwS9WZJb+jXZ9p27osff6xJQNX9LYPwPQ49cMWhK1hCFvD\nLF1f5v6e+n6evb295PunLRG4ord7AObBPltIYuiIB2IbGpimCJtjp0rnnFIkZAFIgZGtAnXp5IaM\neJQuVV2Zumwj1fkoo1zR2zkAy+CkpljMkM44UgeOfIytN+7++G3M8wEgJUa2CnTUaELq/XH6OOwX\nyFz1NXU9GToaufm81J9jmznqzZL1A0AZ2EF+C8LWNKbY8Xnz9aY2ZMpoqvqbup6MPRowBzVMRQOI\njWlEzGrqTnuq1zOzx29jnj9G1EATdb2GKu3zAEBXhC0kMUVImuL1ogaAqOs1VqmfCwCOwqkfMNhq\ntRo0NTTneZTWrx19evwopQeSofWG05QAyBUjW1jUUmcI7/I+EUNNxHWaQ9/P2eXxq9WqmvIDkBfC\nFkbp07ktfe27lBc37qPWEZm5AhSBC0A0hC0sIlXw2fa+ETvkiOs0t6M+85jyqLEsAcRF2MJouzq2\n1CNMqd//KLWOarUdVn+mvGwQAKRG2MKsIgcdxDFXMCJwAYiAsIUqRAx9jGodtA5Gc5wTjtAFIKXB\nYcvMnmtmt7duD5vZ28zsnWZ2prX85a3nXGtmp8zsHjN76TQf4Wh0aOlEDDhRUC+XR+ACkMrg82y5\n+z2SLpckMztH0hlJn5T0byT9N3f/tfbjzewySSckPU/SMyXdYmbPcffHhq4DYjgsOEQMWmaW/Pxb\nhKyjzR2Ihp7jCwDGmGoa8Uck3evuXz/iMa+Q9DF3f8TdvybplKQrJ3p/oJNUIXBvb49OPghGuAAs\nbaqwdULSDa3/v9XMvmhm15vZec2y45K+0XrM6WbZE5jZ1WZ20sxOTrFydHIA2ghcAJY0OmyZ2ZMk\n/aSk324WrSQ9W/tTjPdL+vW+r+nu17n7C9z9BWPXD/MiyAIAcLQpRrZeJukL7v6AJLn7A+7+mLt/\nR9IHdHaq8Iyki1rPu7BZtgimcaa3rTwj7q8VHSMty6PMASxlirD1GrWmEM3sgtbfXiXpzub+TZJO\nmNm5ZnaJpEsl3TbB+/cyJHAR1MoSKQxyWgIAKN/goxElycyeIunHJP1sa/F7zOxySS7pvvXf3P0u\nM7tR0t2SHpX0llRHIq6DU5dOrh2y2vfpIPO2t7eX9Duk/gBAPSz1ofC7mFnnFUzxWWruNHOeRlzX\nlaW+vz4BH+kxkg2UqU//5O6TdWajRrYAdEPIygvn4wKW1bWNzHW7ZGRrArV2pCWMbEn1fn9D1DhC\nl2vjDiyt7645XZ/T9bW6SDWyRdiaQE0dT1spYUuq9zuUDv8e2+Wx6+/YRyhDrVK3B322PcLWFjmE\nLSl9ZUuhpLC1Vsv3ODYY1FJOQxG8UIsobUHXbY59tjKX+ug2TKPEI07p+Je3rjuUPUpWShu5hKku\n1wPRsOai6whoCd9nCZ8hZ3RGKFW0uh1tfTYRtiZG55Z2OndqnNAWADAWYWsGdM7l2RW6+M6xTfRf\n3EBfUet01PWS2GdrNqXvw1VruNj2uUv+rjEe5+0C6sbIFnrLudOYY4ozctCaa91yrgMAyhW1PSZs\nYRYR99uKuE5LiNr4AMgP7ckwhC300mdEo9ZwE9EcDSSjW/3QSQH1Imyhl74dRpTANdd65NSBErgA\nIA3CFoBRCFxAPdjehyFsobfcRrcY1TqLHebTyrHOABiPsIVFpApccx19mHOnSeBKK+e6A2AYwhYG\nGdJhLB24ajvNQwQErm6oR0BdCFszouN5oiUCl7tP+j7rkSw6yG6o90DZ2Mb7I2xhcVOHoc3XnkrJ\nAWvuz0VjvFupdQt1iLyNR9y2CFszi1whU5syGM0Z4DBMirrPhcOB5bCtdWfROygz67yCkT9LxKQ9\nhSk3NjPr9XiOMpzG3A3mEuV51GeI/n3SYSF3Ubexw7atPv2Mu/frlI7AyNZCaFB3W49Odb3NIWqj\nkbM5636XkSy2PQCpHUu9AgDSWq1WsweSvb29QUGWoARgqCXatq4IWxgsSiWeAiNa81vXly5lPXXd\nGhr2AByN7aob9tlaWEkVc8mwNaaDLqnM51RSeD5M1HpQermjTFG3p8O0t7FU+2wxsoXQ+mzQm0PG\nOTUGqNdh9ZQAhghoQ6dD2MIgS3QGQzZ0GgeUoF2PCV5YEm3oPAhbC6EC90N5Afsi7eSLctHmzotT\nP8ysxLOQl3BeJtQn58DCNoE5Ub/mR9iaUYkVOOcOC3XLfXvMff2BmhG20FnU/bSAWrB9YGrUqWWw\nz9ZMSqrAjGYBQHlK6qeiI2zNoIQKnCJglVBuwNzYYR7ID9OIOKDLteYAAMhFhB/yjGxBElOFAFCT\nCAGkJoxsAQAAzIiwBQCZYVQC6Cf1NkPYAlOIqEJp9Tx15wGgO8LWxGgAhyutM8wJZQ/UhW1+WYQt\nANUorYPhxx2QB8JW5aJ1PtHWpwaUOYDSpW7nCFsVS135gBQ4lxywj+1gOYStSkXeyCKvW0lqDx2l\nfHamEjFGKdtBdIStCrFxAftqD5xADSJs44QtANUjdKFm1P35cbkeAGgc1ulEn6ajo8QU9vb2wtf1\nnDGyNTEaPuSAegoAyyFsVYZOFgBQiyh9HmELIUXZQErDvkkAsDzC1gzozBAR9XKYyOUWed2Qn9Lq\nU6TPQ9iqSKSK10Vu6xsZZQkA6RC2ZkLnNo3SynHsNF7X567fh2nDcvG9AttF2z7M3VOvw5HMrPMK\nRvwsUQ6ljVbx+opSjmNtfg9dP1fu318JotVB6gTmEq2uD7Ft+zCzzq/h7t0fvAMjWzOL0CBGWIex\nSh2h2fW5Sv3cOeJ7APIQcVvlpKaFi1jpxlh/nhJ+ebWV9j2VihM/AnFFbkcZ2VpAigpQ+ohIyZ8N\nsVH3gDhy2TeVsAUAPeXQuANDMHI7D8JWoWrYYOjwkBp1EEAXhK2CrVarakIXkFIuUxkA0tgZtszs\nejN70MzubC17upl92sy+0vx7Xutv15rZKTO7x8xe2lp+hZnd0fztvdbn+MsCpGyEawhcQBQEL2A5\nufRvXUa2PiTpqo1l10j6jLtfKukzzf9lZpdJOiHpec1z/oeZndM8ZyXpjZIubW6brwkMRueGiKiT\nAKQOYcvdPyvpoY3Fr5D04eb+hyW9srX8Y+7+iLt/TdIpSVea2QWSnubut/r+mUc/0npONRjdmh+h\nC9HMUR+p40Behu6zdb6739/c/wtJ5zf3j0v6Rutxp5tlx5v7m8sPZWZXm9lJMzs5cP3CInAtY1vo\nopPCktZ7S1DvYjKz8DeUYfRJTd3d+1xSp+NrXifpOqnf5XpywYkRl0MnhyUd1TlOtd1Tp4H8DB3Z\neqCZGlTz74PN8jOSLmo97sJm2Znm/ubyKhG0gHLsGoVoLx8blAhamFuOdSyHPnVo2LpJ0uua+6+T\n9KnW8hNmdq6ZXaL9HeFva6YcHzazFzZHIb629ZyqpK4Uqd8fKMGYaZ6hnVmOnSCwlOh9285pRDO7\nQdJLJD3DzE5Leoekd0u60czeIOnrkl4tSe5+l5ndKOluSY9Keou7P9a81Ju1f2TjkyXd3NyqEr0y\nANhuyv1n2sHpqHaBgIUUct3VZbVahd1mbP/gwLj67LMV+bNEqrhRK+NSUn4XtZd9bqYMWJHbp1rl\nsAN6ynoTqd/q46h2ts937u6TVRDOIL+AXCssUCOOBAPyFrHPJWzNLOKXXjtGl7CJgAU8EW3ldAhb\nwEJouOLgXEZAN7meKDraQAdha0bRvmygdinDFaEOOcsxcEVC2EKVlm44aKjSYAQLmE6uo1wRjD6D\nPABEQqgC5tX11CWpRToVBGFrJpErIJYVZWMvGQELQGRMI1aGjv+sJcqC8p5PjtODOa0rgOkwsgXM\nhKA1LYIKgFwxsgXMgKA1ndxGr3Yp6bMA6IawNZOInW3EdUptjjKhnMfhCEIgH7R33TCNCEyIhmcY\nQhWQJw4G64aRrUoQArabqmwo4+4YvQLyR9DqjrA1oyidb5T1iGxsGVHG3RGuKAPkL5egFWU9CVuF\nIwR0N6SsOKNyf+6eehUAjBAlwOTEojd8ZtZ5BSN/lhSVkxAw3K7vi7KdRs0jPJHbq1rkUP+i1ZNc\ng9a6ze7znbv7ZBWEHeQLRRgYh/Jbhrtn0eHNwczCdaTAUXINWhEQthay7ry7VtbNzn7o84Doag5c\nQC4IWuMQthZ21AU8jwpKQ58H5IDABaBkhK2EhoYkwhVKlHvg2pwS7PJZmEoE6kDYAhBG7oGrbVuI\nKuXzoR5MIY5H2GrJoRHkVzBKt67jOWyPa322S7ZhoD6cZwsAAGBGhC0AIbl7FqNAOawjULMI+zkz\njQggtJL24wJS4UTNaRG2AIQXNXAxqoXouu7cvn5caaEryudhGhFAFgg2QD9DjiLcfE7ORyJGCVoS\nYQtARiIFrkjrAmwaE5LWzyVoTYcLUR98r1HPX0L07wtYQoRtlW0xfxHq0S5D6lnOIWkKRwUtLkQN\nAB3leC4uYG61hywp3ojWGtOIALKVanSJUS1EQ9CKjbAFIGsEHwDREbYAZG/JwEW4QzSMasVH2AJQ\nBEIQakTQygNhC0Ax5g5cBDpEQtDKB0cjAigKRyqiK8IzlsLIFoAiTd2R0jEjEka18kLYAlAsAhKA\nCAhbAIo2ReAitAEYg7AFoHiEJQApEbYAVIHABcQQ9ZI6cyJsAajGkMBFSAOmU2PQkghbACrj7gQo\nIIFag5ZE2AJQqS6Bi1AGTKPmoCURtgBUjDAFzK/2oCURtgBUblvgIogB4xG09hG2AFSPYAVMj6B1\nFmELAHQwcBG+gHEIWgcRtoCAzCz8rUQcqYhcRA4zkdctFcIWAACYBEHrcIQtAAAyFC3YRFufSAhb\nAABkioCTB8IWAAAZI3DFR9gCACBze3t72YSu1WqVehUWdyz1CgAAgGm0A1eNoSYqRrYAAMAoXUfV\nag2AhC0AAIAZEbYAACjQUvtw5bKvWEqELQAAMLtapxClDmHLzK43swfN7M7Wsl81sy+b2RfN7JNm\n9j3N8ovN7O/M7Pbm9v7Wc64wszvM7JSZvddKvd4HAABBzD3qFGlUK9K6bOoysvUhSVdtLPu0pOe7\n+z+R9OeSrm397V53v7y5vam1fCXpjZIubW6brwkAACY2VwiJHG6i2Rm23P2zkh7aWPZH7v5o899b\nJV141GuY2QWSnubut/r+VV4/IumVw1YZAAD0MXUwImj1M8V5tl4v6eOt/19iZrdL+itJ/9nd/6+k\n45JOtx5zull2KDO7WtLVE6xbL/s5EACA8qwD0ph9pwhZw4wKW2b2dkmPSvpos+h+Sc9y92+Z2RWS\nfs/Mntcj36c4AAAVWElEQVT3dd39OknXNe9BAgIAYCIlBqbon2lw2DKzn5H0E5J+pJkalLs/IumR\n5v7nzexeSc+RdEYHpxovbJYBAAAUbVDYMrOrJP2CpH/m7n/bWv59kh5y98fM7Nna3xH+q+7+kJk9\nbGYvlPQ5Sa+V9N/Hrz4AAIiq5tM9tO0MW2Z2g6SXSHqGmZ2W9A7tH314rqRPN2dwuLU58vDFkn7J\nzL4t6TuS3uTu653r36z9IxufLOnm5gYAAApDyDrIou8U3mefreifBegqh9PQsb0BOEyKoNV1n60+\nbau7T9YQcwZ5AAAwCUa0DkfYAgAAo6UMWtFD3hTn2QIAAJWKHnQiYGQLAABkb7VahQ1+hC0AADBI\nxHATcZ0IWwAAADMibAEAgN4ijiCtRVs3whYAAMCMCFsAAKA4kUa3CFsAAKCXSEEmB1yuBwiIy/UA\nSGVbkFpfEie3oNW+lE+qy/VwUlMAALAzROUWsiJhZAsIiJEtAEupIUStR7e4EDUAAFhUDUErAsIW\nAAAVImgth7AFAEBlCFrLImwBAFARgtbyCFsAAAAzImwBAFAJRrXSIGwBAADMiJOaoki7zoAMALWp\ndVQrQrtP2EJR+pwBOcIGuA0nDAWAcjCNiCKsVqvev9pq/ZUHALWI8qOasIWsDQlZm88HAGBOTCMi\nO1MHpNVqFebXDwCgPIxsISuMRAEAuoj0I5qRLYS2VLhidAtAyfihmhYjWwhp7L5YQ98TAEpD25Ye\nYQsAABQl2kwFYQvhpPwVxi9AAMDULPrJE82s8wpG/yw4KHqwifbLCAD6it7OzuGottvMOr+Ou3d/\n8A7sII/F1bjxAwDmFfkHMtOIWFROQSundQWACFIFnshBSyJsYUE5hpcUR0UCQM6WDD57e3vhg5bE\nNCIWkntg2bb+OWzkALC0vb292dv9nNpfdpDH7HIPWl3ktNEDXXcSpk3NX4r2d7M9nGMdhra5qXaQ\nJ2xhVjUErTZCFyLq08EchTY2T6na4XZ7OOU6jGlnU4Ut9tnCbGoLWlKdnxmxTRW0pn4t1KX2H6KE\nLcyi5tBR82dHHGY2SzgicOUnVdDZbAunWI9cQxvTiJgUQeOsXBsF5G+pQESbm4/UbfPYKcWp2lOm\nEZG91BtzNJQHUlhy5IlRrnxE+vHX93QNkdZ9KEa2MBnCxeFKaCiQh1Thh7Y3Hynb6aPawjmmHA/D\n0YhbELbyQNA6GoELc0s9ykT7m4/U7XXK9pBpRKBgqRs3lC110IqyDuiGH3/LI2wBQMYIOegr9Y+/\n1O+fAtOIGK3GDWcoflFiatHCFu1wbNHa66XbRKYRAQC9RAtaUsx1wr5oQasmhC0AAAoXNWhFXa+p\nEbYAAChYLYEmMsIWAGQo8nRd5HWrDUErBsIWAAAFyiVo5bKeYxC2AAAoTA0BJieELQAACkLQiudY\n6hVAXtiIgfTYJwrIC2ELOxGwACA+2uq4CFvYig0XADC3Gq6swT5bAABkjh/HsRG2cCg2XAAApkHY\nwhMQtOZD2WIKXOwZpahhClHqELbM7Hoze9DM7mwte6eZnTGz25vby1t/u9bMTpnZPWb20tbyK8zs\njuZv7zUOpwmJMDA/yhgA6mK7fiGZ2Ysl/Y2kj7j785tl75T0N+7+axuPvUzSDZKulPRMSbdIeo67\nP2Zmt0n6OUmfk/QHkt7r7jfvXEGzzj/h+LXXHR1+erX8osM8ov9epT1eTq7teYo2sM924+6TbWQ7\nj0Z098+a2cUdX+8Vkj7m7o9I+pqZnZJ0pZndJ+lp7n6rJJnZRyS9UtLOsIVp5bpRlmi1WhG4UCSC\nFo5SY7s3Zp+tt5rZF5tpxvOaZcclfaP1mNPNsuPN/c3lhzKzq83spJmdHLF+aFmtVgStgPhOMBSB\nBjmqMWhJHaYRJakZ2fr91jTi+ZK+Kckl/bKkC9z99Wb2Pkm3uvtvNo/7oPZHr+6T9G53/9Fm+Ysk\n/aK7/0SH92YacSQ69PhqbYAwTtSpRNri5aVs5zfbr811idS+hZ1G3LICD6zvm9kHJP1+898zki5q\nPfTCZtmZ5v7mcgDAQO4eLnARtOpyWJCKFK6iGDSNaGYXtP77KknrIxVvknTCzM41s0skXSrpNne/\nX9LDZvbC5ijE10r61Ij1RkeMauWB7wlAbghV3e0c2TKzGyS9RNIzzOy0pHdIeomZXa79acT7JP2s\nJLn7XWZ2o6S7JT0q6S3u/ljzUm+W9CFJT9b+1CI7x8+MDhwoX6TRLUa10tnb21uszSdk9dflaMTX\nHLL4g0c8/l2S3nXI8pOSnt9r7QAAWSBolY2ANQ4XogaAzEUa3UI6U41uEaymx+V6AKAAKUeWGNWK\nY2xQImjNg7AFAIVIEXoIWvEMCUx7e3sErRkRtgCgIEuGH4JWXH3CEyFrfuyzBQCFWYegufbjImTl\nY+ogNdURj7UFPMIWABRq6tBFyKrX1KeVaL9eDcGLsAUAhZviaEWCVp2WOHfX+j1KDl3ss1Wwkisu\ngH7c/cBt6sejPEufGLvkE3ETtgCgQpthinCFtlTBp9TARdgqHKNbAICclBi4CFsVIHABALqKEHYi\nrMOUCFuVmCNwEeIAAHNpB67VavX4LUcWfW7ezDqvYPTPEsXYyroZsnKt/NEQXgGkllt73rfd7HNU\nrrtPdqI6wlbF+m5UR1Xq3DbQiAhbAFLLtS3v2n4StrYgbOUl1w01AsIWgNRybsO7tKGpwhb7bGFS\n6+tx7ar0XPQUADClyEGRkS0kF3kDWRLhE0BqJbTHR7WljGyhWoQMAMBUIgZGwhaSi7hhAECNSvnx\nG61fIWwBAIDiRApchC0AAFCkKIGLsIVOzOzIG8aL0igAqFspU4mRELawVZ8wRfCaBoELQAQlBa4I\n7SphC08wNjQRvMbJ+fpfAMpRUuBKjbCFx80RkLq8Hhv04QhcAFLjBNTTIGxBUr8TvQ15bUa5hiFw\nAYgg98CVui09lvTdkdySIcjMOMv/AKvVKvuGDkD++rZDqQNOJIxsVSzFaBMjXMPQaAHICW3WQYSt\nSqUMPYe9NyM3u9F4AUCemEZEEkwpDtMOXARUAOgmdXvJyFaFok7lcdRLP5wiAgDyQNhCMlFDX24I\nXACi4YfzQYStyuQQcBjh6o/ABQCHi9CfELYqEjFoHbVO69AVYUPJAYELAGKy6Dspm1nnFYz+WVKL\nGLak7t8bYaI7AiqACFK325ttYZ9+0N0n6zQ5GhHJcWTi9DYbOMIXgNpEavcY2apE1FGtNUa3lhGp\n8QFQh6Xb7aPauVQjW+yzBQAAsnBUkIq8jy8jW5UoZWRLYnRrClEbJABlmqLdnqLdYmQLVeuzARAU\nACAvY9vt3Nt9whaylPuGlxqjgwCWNrTdLqG952hEAACwiHVw2vWDr4SA1UbYQpYYmQGAfJUWpnZh\nGhEAAGBGhC2EwJGky2N0EACWQdgCAACYEWELAABgRoQtoFK17aAKAKkQtioReZ+oyOsGAMBYhC0A\nAIAZEbYqwggS1phCBIDlELaQFAEQAFA6wlZlCDdgVAsAlkXYQjIEv+URtABgeYStCkUIORHWoTYE\nLQBIg7BVqZRhh6C1PIIWAKRzLPUKIB13l5kt/p5DcB2/4QhaAJAWYatySwauvkGLgDUeQQsA0iNs\n4fEQNGfoImgti5AFAHHs3GfLzK43swfN7M7Wso+b2e3N7T4zu71ZfrGZ/V3rb+9vPecKM7vDzE6Z\n2Xtt6fkr7DTHvlTuTtBaGEELAGLpMrL1IUnvk/SR9QJ3/1fr+2b265L+qvX4e9398kNeZyXpjZI+\nJ+kPJF0l6eb+q4w5TTnKNSS8EbSGIWABQFw7w5a7f9bMLj7sb83o1Ksl/fBRr2FmF0h6mrvf2vz/\nI5JeKcJWWO2g1DV4jR0ZI2j1Q8ACgDyMPfXDiyQ94O5faS27pJlC/BMze1Gz7Lik063HnG6WHcrM\nrjazk2Z2cuT6YQLrqcBdNyyHoAUA+Ri7g/xrJN3Q+v/9kp7l7t8ysysk/Z6ZPa/vi7r7dZKukyQz\noxevAKNauxGwACBPg8OWmR2T9FOSrlgvc/dHJD3S3P+8md0r6TmSzki6sPX0C5tlAHYgZAFA3sZM\nI/6opC+7++PTg2b2fWZ2TnP/2ZIulfRVd79f0sNm9sJmP6/XSvrUiPcGAADIws6RLTO7QdJLJD3D\nzE5Leoe7f1DSCR2cQpSkF0v6JTP7tqTvSHqTuz/U/O3N2j+y8cna3zGeneOBIzCiBQBl6HI04mu2\nLP+ZQ5Z9QtIntjz+pKTn91w/AACArHEhagAAgBlxuR4goKFTiDlcmIHThACoDSNbAAAAMyJsIQR2\nBj+LsgCAshC2gEAIWgBQHsIWwqg9aEzx+dkfCgDiIWwhlFoDVy2fmzAIoEYcjQgkVEvIAoCaEbaA\nhRGwAKAuTCMChYk6VRd1vQBgboQtYEGMagFAfZhGBBawdMhy91Bnk2dUC0DNCFuoxmbgWa1Wi71X\nClECF0ELQO0IW6jW3t7e6MAVIVQBAGIjbKEa24LV0NCVQ9BKPbrFqBYAELaAx4PWOjztCl45hKy2\nVIGLoAUA+whbQGMzdJVk6cBF0AKAszj1A7Bhzh3nU1oqABG0AOAgwhZwiJID11xhaM7XBoCcMY0I\nVGgdiqaYWiRgAcDRGNkCtih1dKttzGgUI1kA0A0jWwAITQAwI0a2AAAAZkTYAo5Qw1QiAGBehC0A\nAIAZEbaAHRjdAgCMQdgCAACYEWEL6IDRLQDAUIQthFPitQkBAPUibAEAAMyIsAV0xFQiAGAIwhZC\nYioRAFAKwhbCInABAEpA2EJokQJXpHUBAOSDsAUAADAjwhbCY0QJAJAzwhYAAMCMCFvIQurRrdTv\nDwDIF2ELAABgRsdSrwAQGSNaAICxGNlCNgg+AIAcMbIFHIJgBwCYCiNbwAaCFgBgSoQtZIUgBADI\nDWELaCHMAQCmZu6eeh2OZGadVzD6Z8F0VqvVpK9HyAKA8plZ58e6e/cH78DIFrI0ZTgiaAEA5kTY\nQramCEkELQDA3JhGRBH6TisSsgCgPqmmEQlbAACgCuyzBQAAUKCiziDfJ7ECAAAsgZEtAACAGRG2\nAAAAZkTYAgAAmBFhCwAAYEaELQAAgBkRtgAAAGZE2AIAAJjRzrBlZheZ2R+b2d1mdpeZ/Xyz/Olm\n9mkz+0rz73mt51xrZqfM7B4ze2lr+RVmdkfzt/caJ8YCAACF6zKy9aik/+Dul0l6oaS3mNllkq6R\n9Bl3v1TSZ5r/q/nbCUnPk3SVpP9hZuc0r7WS9EZJlza3qyb8LAAAAOHsDFvufr+7f6G5/9eSviTp\nuKRXSPpw87APS3plc/8Vkj7m7o+4+9cknZJ0pZldIOlp7n6r71/E8COt5wAAABSp1+V6zOxiSd8v\n6XOSznf3+5s//YWk85v7xyXd2nra6WbZt5v7m8sPe5+rJV3d/PcRSXf2Wc/CPUPSN1OvRCCUx0GU\nx0GUx0GUx0GUx1mUxUHPnfLFOoctM/tuSZ+Q9DZ3f7i9u5W7u5n5VCvl7tdJuq5535Pu/oKpXjt3\nlMdBlMdBlMdBlMdBlMdBlMdZlMVBZnZyytfrdDSimX2X9oPWR939d5vFDzRTg2r+fbBZfkbSRa2n\nX9gsO9Pc31wOAABQrC5HI5qkD0r6krv/RutPN0l6XXP/dZI+1Vp+wszONbNLtL8j/G3NlOPDZvbC\n5jVf23oOAABAkbpMI/6gpJ+WdIeZ3d4s+0+S3i3pRjN7g6SvS3q1JLn7XWZ2o6S7tX8k41vc/bHm\neW+W9CFJT5Z0c3Pb5bpuH6UalMdBlMdBlMdBlMdBlMdBlMdZlMVBk5aH7R8YCAAAgDlwBnkAAIAZ\nEbYAAABmFDZsmdlVzeV+TpnZNanXZwlHXBrpnWZ2xsxub24vbz3n0EsjlcLM7msu8XT7+lDcIZeK\nKoGZPbdVB243s4fN7G011Q8zu97MHjSzO1vLqr102Jby+FUz+7KZfdHMPmlm39Msv9jM/q5VT97f\nek7J5dF7+yi8PD7eKov71vtil14/juhfl2k/3D3cTdI5ku6V9GxJT5L0Z5IuS71eC3zuCyT9QHP/\nqZL+XNJlkt4p6T8e8vjLmrI5V9IlTZmdk/pzTFwm90l6xsay90i6prl/jaRfqaU8WmVwjvZPJvyP\na6ofkl4s6Qck3TmmPki6TfuXHzPtH6jzstSfbcLy+HFJx5r7v9Iqj4vbj9t4nZLLo/f2UXJ5bPz9\n1yX9lxrqh7b3r4u0H1FHtq6UdMrdv+rufy/pY9q/DFDRfPulkbY59NJI869pcr0uFZVg/ZbwI5Lu\ndfevH/GY4srD3T8r6aGNxdVeOuyw8nD3P3L3R5v/3qqD5zd8gtLL4whV1o+1ZjTm1ZJuOOo1SimP\nI/rXRdqPqGHruKRvtP6/9dI+pbKDl0aSpLc20wLXt4Y5aygnl3SLmX3e9i/jJB19qajSy2PthA42\nkrXWD6l/fTiujpcOK8DrdfAUO5c0U0R/YmYvapbVUB59to8aykOSXiTpAXf/SmtZFfVjo39dpP2I\nGraqZhuXRpK00v6U6uWS7tf+0G8tfsjdL5f0MklvMbMXt//Y/LKo6vwlZvYkST8p6bebRTXXjwNq\nrA/bmNnbtX+uw482i+6X9Kxme/r3kn7LzJ6Wav0WxPZxuNfo4A+2KurHIf3r4+ZsP6KGrW2X/Cme\nHXJpJHd/wN0fc/fvSPqAzk4FFV9O7n6m+fdBSZ/U/mfve6mo0rxM0hfc/QGp7vrR4NJhG8zsZyT9\nhKR/3XQgaqZDvtXc/7z290F5jgovjwHbR9HlIUlmdkzST0n6+HpZDfXjsP5VC7UfUcPWn0q61Mwu\naX7Fn9D+ZYCK1syhP+HSSOuK0HiVpPWRJYdeGmmp9Z2bmT3FzJ66vq/9HX/vVM9LRS271os48Iu0\n1vrRwqXDWszsKkm/IOkn3f1vW8u/z8zOae4/W/vl8dUKyqPX9lF6eTR+VNKX3f3x6bDS68e2/lVL\ntR9LHxHQ9Sbp5do/WuBeSW9PvT4LfeYf0v4Q5hcl3d7cXi7pf0m6o1l+k6QLWs95e1NG9yjDI0R2\nlMeztX80yJ9JumtdDyR9r6TPSPqKpFskPb2G8mg+31MkfUvSP2wtq6Z+aD9k3i/p29rfV+INQ+qD\npBdov9O9V9L71FxNI7fblvI4pf19TdZtyPubx/7LZju6XdIXJP2LSsqj9/ZRcnk0yz8k6U0bjy26\nfmh7/7pI+8HlegAAAGYUdRoRAACgCIQtAACAGRG2AAAAZkTYAgAAmBFhCwAAYEaELQAAgBkRtgAA\nAGb0/wHkbdA04e9HvgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032c2fa90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "300\n",
      "Action_times\n",
      "291884\n",
      "Epsilon\n",
      "0.749386614487\n"
     ]
    },
    {
     "data": {
      "image/png": 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ctreQSqqHQOmWbW2fttXdJ2uIuYI8ssOIEGIjaAHog7A1IxpoIH9sx0B+Ym+3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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a03428a4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "310\n",
      "Action_times\n",
      "305187\n",
      "Epsilon\n",
      "0.739615689756\n"
     ]
    },
    {
     "data": {
      "image/png": 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DeZUaSEr8TCUjbAHIRkqBK6V5mUKp1a0SEbTyQ9gCkJXSQk4qSu/AS/98SBuX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\nAAAAARG2AAAAAvr/wSdoLKN7djoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032b05b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "320\n",
      "Action_times\n",
      "310910\n",
      "Epsilon\n",
      "0.735452024855\n"
     ]
    },
    {
     "data": {
      "image/png": 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GHQ9qQn0fbl/AAoA223c82MzulPSdkl4q6XFJPy3pNyV9VNLLJH1V0pvc/cnm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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0336d20b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "330\n",
      "Action_times\n",
      "322368\n",
      "Epsilon\n",
      "0.727187234956\n"
     ]
    },
    {
     "data": {
      "image/png": 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evM9VWhzZ+HRJd0h6h3cYJLXLbkTGXKEUOZwZhe0N6G7XUNQlsKQWtHIIWbvU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\n2AIAAAiIsAUAABDQ/weFNkF0RXx81QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a03355e390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "340\n",
      "Action_times\n",
      "334472\n",
      "Epsilon\n",
      "0.718558725746\n"
     ]
    },
    {
     "data": {
      "image/png": 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muZjVAjAFjtkCEkQwmgdhCsAcCFtAYgha89oVuAhiAKZC2AISQtCKg2AFICTC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\nAAACImwBAAAE9P8B3jdjTEgL8YYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0335bc3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "350\n",
      "Action_times\n",
      "351098\n",
      "Epsilon\n",
      "0.70687561916\n"
     ]
    },
    {
     "data": {
      "image/png": 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Zhf/ZJFKQiCja9tn7AHl39z5Xee/4micknZD6XUEeWGfZqUWrfCXJ8UD5FOWh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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032a72518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "360\n",
      "Action_times\n",
      "362695\n",
      "Epsilon\n",
      "0.698840633521\n"
     ]
    },
    {
     "data": {
      "image/png": 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Ii6CFMZqf2cr5LuFj1bY+IRFEAYxxdHRE0CpQLvU/KWyZ2QNm9nkzu9vM7uqWPd3MPm5m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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0338eea90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "370\n",
      "Action_times\n",
      "374297\n",
      "Epsilon\n",
      "0.690894886896\n"
     ]
    },
    {
     "data": {
      "image/png": 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DehHPvrrTZ3u7+2idFTNbCCHqtxEA8yPEYIjI4whhC2FEbigA5jVX4OqzR2T9sfRZ6Iqw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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a034502860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "380\n",
      "Action_times\n",
      "381490\n",
      "Epsilon\n",
      "0.686014782312\n"
     ]
    },
    {
     "data": {
      "image/png": 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lPebuX9/ynBsk3enuT7v71ySdkHTdSO+PGeQ4GxcxBAIAyjZW2Dom6Y7W/99uZg+Y2W1m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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032df2f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "390\n",
      "Action_times\n",
      "392151\n",
      "Epsilon\n",
      "0.678846069439\n"
     ]
    },
    {
     "data": {
      "image/png": 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6SOv/l5rZcUl/Iek/uvv/kXRY0snWa04201Yys+slXT9C2XrJ7Zc6gIMRtABE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\n2whbaxC2gO1EClyR1k2CFmq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      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a033708f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "400\n",
      "Action_times\n",
      "404686\n",
      "Epsilon\n",
      "0.670514411717\n"
     ]
    },
    {
     "data": {
      "image/png": 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o1bqUFrKYRqxPn8/c3YNVkK1hy8xu1vxg+OdLekTSeyT9vqRbJL1Q0l9IeoO7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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032df27b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "410\n",
      "Action_times\n",
      "415327\n",
      "Epsilon\n",
      "0.663523140887\n"
     ]
    },
    {
     "data": {
      "image/png": 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pmKhcygnERNhC0QhcZUg1cMW4CjyA/BC2CkCg2I3lU4ZUA9cU1j1ZuQatXMsN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\nICDCFgAAQED/H4aIOWw9hf5XAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0334be4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "420\n",
      "Action_times\n",
      "426836\n",
      "Epsilon\n",
      "0.656044859375\n"
     ]
    },
    {
     "data": {
      "image/png": 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1nA+5+z9z91e5+x0hNgAAxqLDqVuXQ0tTTZjfJVRdpc5PiyvIAxmioQyPMkUuqKv5IWwB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\nvS7fFIHtYu8fqxEv9kMgrC4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      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0334f39b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "430\n",
      "Action_times\n",
      "437983\n",
      "Epsilon\n",
      "0.648883385954\n"
     ]
    },
    {
     "data": {
      "image/png": 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TqAHb9siQka6xo2Js683GnrP1K5K+tHaC/BPc/RfN7HJJ79SZE+Q/JOnSLSfI\n/7q739LjszlnC0AoQ0ewhrRNuUcGarOr8596mG4JJfZructwqn2+9NWIN0t6lqQnSrpf0msl/b6k\n90h6sqQv6Gjqhy93z3+NpJdIekjSK1dXHJrZVToz9cOtkl4WYeoHAOhjSsc8tG3K3VnVhLCVT85y\nHO0E+SYnNQWAPlJ2xgSuPAhb+eQuw5Gmfhh7zhYAVCnVlWBTce4LUA/CFoDmRQlYJxG4gPFyj6yt\nI2wBaE7KuYzmRuACykfYAtCMnOFqyucSuMZhuyGKyZOaAkBU0Uet+op0OATAcIQtAFWpJWBhGka1\nEAlhC0DxCFgAIiNsAShSiQHLzJhvawGMaiEawhaAIpQYrrA8ghYi4mpEAKGVMD3DEDWtSzQELayL\nVB4Y2QIQCmEEY0TqWIGTCFsAsiNgYSxCFjaJVi4IWwAWR7jCFNE6UmAfwhaARRG0xl2VWDPCE2rH\nCfIAFkXIANAawhaAxbk7oQuoHCOWZxC2AGTTcuDicCrQDsIWgKxaDlwA2kDYApAdgQuoE4cSjxC2\nAIRQeuBanYc25Hw0DiUCbSBsAQij9MC17mT44qIAtIrRLcLWMat7sEX+AWpXYigZsryEL7So9cBF\n2AIAAJgRYQtASKWM/JSwjADyImwBCI0wU7/Dw8PciwDMinsjAgjP3UOeszhnECSAAPUgbAEoQtTA\nlRIBC6gThxEBFCPSIcXUy0LQAurFyBaAotQ2wkXIAurHyBaA4pRypeIuh4eHBK01bAukEnFOL8IW\ngGLlClxTP5dgsRnbBbUibAEoWmkjXASK3dg+9VpixCniqJZE2AJQgSUD15TPIkj0w3bCGFGDlkTY\nAlCJ6CNcBIhh2F4YInLQkghbACoyd+Aa+/4Eh3HYbvWZIxRFD1oSUz8AqMwqEOWcHoKQkM7JbZmy\nY40+Gor9SghakmTRC5uZ9V7AqetSwtw90fcXEEnKOt2n7hGyllNKJ4vNUtSVMWVgSJvg7skaEA4j\nAqjWkl9OCFrLYnuXbWpYLi1sM7J1/LMmvX4J0fcXENHUur2v3tHx5xOt053jsOf6e0Zb36nG1J0p\n2yDXyBZh6/hnTXr9EqLvLyCqKfV7V70jaOWXO4D0LQN9lzP1+5WgzzqnWF/C1haEreOi7y8gsrF1\nnLAVX67gkXpkZumRnojmHMkjbG1B2Dou+v4CohtazwlaZcgROKbs/03Lm/r9cDZOkAeABdRwE2vk\nleIm4ifrSbKxAAAatUlEQVRfn/r9EAthC0CT+gQuQlk5xoaNVXDKEVZWn5nqswlccXEY8fhnTXr9\nEqLvL6A0u+o9hxDLs+9wWu37jcOJu3HO1haEreOi7y+gRJvqPkGrXCcDR2v7i8C1Xa6wxe16ADTP\n3fc2wq112CVjXyEaztkCAB0fyVr/Pdf5PKViVAU4G2ELCMjMwv/U6OSVioSsYVZBi8AFHMdhRABY\nQ8AaZz1gsQ2B4whbACACwhSMZAG7EbawtZOhAUUrCFrD0T6Ubal7EeIIUz8c/6xJr19Cqv01pHOh\nwi2vpbKYG0FrnG3tAtszhtT7p5Z+gKkfsJihlW1q41lLJUVsY0ZoCQZoRYrbAdGWj8fI1vHPmvT6\nJUxdxwidCxV2vxbK4lgRyjCOpL6ZMtJa7Z/U+6TkNpwZ5LcgbB03ZR2jNYIlV9i51V4Wh4pWdnFG\n67O1t6jktjtX2GKerUbQAKJETCgaH/unPezz4QhbDYhaMaIuF/IjZJWFfQXsxmHE45816fVLGLqO\npTSCJQ9Lz6HGsrhLKeUUu811jhBiKrHdDns1opndJOl5kh5w96d1j/2KpB+U9C+SPiPp37v735vZ\nRZI+Jeme7uW3uftLu9dcKeltkh4j6RZJr/DoSa9gNHYoAeW0LuxPYLO9I1tm9kxJ/yTp7Wth6wck\n/U93f8jMflmS3P1VXdh6/+p5J97ndkkvl/QRHYWtN7v7rXsXkJGtY3atY+kNXYnfkuZSelnso/Ty\nCqC8djvsyJa7/1kXotYf+6O1/94m6d/teg8zO0/S49z9tu7/b5f0Q5L2hi3sV0untVqP0iovhqul\nzAJAHylOkH+Jjoemi83sTjP7UzN7RvfY+ZLuW3vOfd1jG5nZdWZ2h5ndkWD5enP38D9A6QhaQD2o\nz/1MCltm9hpJD0l6R/fQaUlPdvcrJP28pHea2eOGvq+73+juV7n7VVOWrwU1FvQa1wkAakWbvd/o\nsGVmP6mjE+d/fHWiu7s/6O5f6n7/qI5Onn+KpFOSLlh7+QXdYxip9kvja163lrFfgTpRt3cbFbbM\n7BpJvyjp+e7+z2uPf7OZndP9fomkSyV91t1PS/qKmT3djs5Oe5GkP5i89A2qPWSta2U9AaAGtNnb\n9Zn64WZJz5L0RDO7T9JrJb1a0qMl/XF3Zv9qiodnSvolM/uqpK9Jeqm7f7l7q5/VmakfbhUnxw9C\nIQYARMcNqzdjUtPgCFltXp1Y49QPlGWgHVHbbe6NCAAAqsCXq+MIW4FRWAEApaIPO4OwFRSFFACA\nOuw9QR6Ial8gjXrOAAC0ghPmj3CCfECMaqVVYkWv7QR5yjTQrkhtcNh7IwKl29bRR2oAAAD14pwt\nNGs1QSyjLgAwH9pYwlY4FMo8CF0AMJ/W21fO2VpI6wWtJBEOL3LOFoAa5W5fmdS0UoyYlIf9BQBI\nibA1IzrtcrHvACC9VttWwtYMGM2qA/sQAJACYQvYgcAFAGm12K4SthJrsRDVjn0KAJiCsAX0QOAC\nAIxF2AJ6InABAMYgbCVEZ1w/9jFQjtxzOgErhC1gIAIXAGAIwhYwAoGrH6ZBQS4HBweUPYRB2AJG\noiHfje2DXAhaiIawBUxAg74Z2wU5Uf4QDWELmGiOht3dw/8suT2AvjgpPr4W9xFhCwBQBQ4fIirC\nFpAADfwRtgNyaXG0BOUgbAEAikbQKker+4qwBQAo1nrnzchqbK0GLYmwBSTTekPf+vpjeS133qVp\nfV8RtoCECBwoycHBwSM/OT475+uxHPaVdG7uBQBqc3h4SOOCcPaVySWv5Fsty9jPpH6Vgf10hu2a\nLycCM+u9gLnXhVENrGupoaHsxzekPM61P3ctQ5/P7LMOlMXllNjGmVnv57p7/yfvwcgWzsJcNWkw\nwoVSlXhYEYiMsJVQTSFl1fDVsj65TNl+uTqffctMp1ge9llZtu0v2uNyEbYSoiIgpfXytERn2bf8\nUs4RWelfegnGdSJs4SwlN1S1Yp9gLDrvcrCv6sXUDwCAqpQYWkpcZvTHyBYAVGpbB973iqzcV3hP\nUcLhxKEBq4R1wmaELQCozMlOfMjl7rteV1r44kKf+TASNwyHEROi8AHILVXQ2iTley0pattMCGwH\nI1sAUJg+4WGuYGRmxY1wSdMnVMUZUcNrZIxsAUBl5h6BMrNiR7k2yXV/yDFyL2fuzy8VI1uJcQIj\ngJyWDEGljnJtczJI0JYfR9Aaj5EtAKhEjtGmmka4SrF06Clp5C8qbkQ9I74VAUht6nQOc4nW/qY0\nd1s+JshEXKYS5LoRNSNbAFC43EEryjKUakxwmjMM1Rq0cmJka2aMbgFIZVMnGCnkRGyDU1miLc89\nwtVCyMo1skXYWgihC8AUUQ8fnhS5HZ5iqTZ8bOCJNjoWFWFri1rClkTgAjBOKUFrJXpbPMaS7ffU\nELRrWVsMWOtyhS2mflgQ00IAAObWeqCKiBPkF0YlAACgLYStDAhcAPoq7RCiFHvZSsARkPoQtjKg\nIgEA0A7CFgAExSh4u/hSXhfC1sKoQACAPugv6sHViMBCuMkthtg1qsU5Ue04PDxkhLMCjGwBCzs8\nPCRoAeiN9qJ8hC1gQTSaAMag7SgbhxGBhdBYAulMqU9jDssxKTWmIGwBAIqQKuysvw/nQ2EJHEYE\nGkQHU7Ya7z24z1yjSkPel3qDsfaGLTO7ycweMLO71h57nZmdMrM7u5/nrv3t1WZ2r5ndY2bPXnv8\nSjP7RPe3NxuX0wDZcDgkNjr14+Yur6XUh1KWE2frM7L1NknXbHj819z9iu7nFkkys8skXSvp8u41\nbzGzc7rnH0r6aUmXdj+b3rN6NKIA0N9SAYMggzntDVvu/meSvtzz/V4g6V3u/qC7f07SvZKuNrPz\nJD3O3W/zo/Hvt0v6obELXToCF4BtamgfUh3mXDoAEbgwlynnbL3MzD7eHWZ8fPfY+ZK+uPac+7rH\nzu9+P/n4RmZ2nZndYWZ3TFg+ACjKkKBV+3lbBJ/N2C5lGhu2DiVdIukKSaclvSnZEkly9xvd/Sp3\nvyrl+0ZSw7dXAOnQJpyRM1CUEGaYGLk8o8KWu9/v7g+7+9ckvVXS1d2fTkm6cO2pF3SPnep+P/l4\n02hcARwcHIxuCyKObkVcpqG2hZloASfa8mA761MxzOwiSe9396d1/z/P3U93v/+cpO9w92vN7HJJ\n79RR+PoWSR+SdKm7P2xmt0t6uaSPSLpF0q+vTqzf89m9a26plZwKA7Ql5RetaBd2T22HI7aH0Sc0\n5Yt7f0Pqi7snq1x7w5aZ3SzpWZKeKOl+Sa/t/n+FJJf0eUk/sxa+XiPpJZIekvRKd7+1e/wqHV3Z\n+BhJt0p6mfeolS2ELSlmAwMgvTk6xiiBK0UbTFs4DoGrn7BhK7dWwpZEIwPUbq4OMULYKvUKxJoQ\nuPbLFba4XU8g0YeqAUyzrX5P7STdPUTgArAZt+sJhm8mQHtSXF2Wc2S/9KMKteDLelyErYAIXECb\npoauHKGHoAXsR9gKisAFtKuUwEXQAvohbAVG4AIwhrvPGoTmfn+Mx6HEmAhbwU2Z8HBppSwnUIIU\nnWbqUETIAsYhbBWCIAO0J9UoRYqARMgCxmPqh4KsB66oQ8VMXzEvtm97Dg8Pd37Z2lUe1l93Mizt\nmyqCcAWkw6SmhYvU8ZYQBmtA4GrT1PpVyug4ZTuNUvb30nJNasphRCRRasUucbnpjNq02u9j938p\n5abEOhlRirnbkA4jW5XIXam2NZC5l2uTk8sacRmBuZQQZqiT6ZWw35fAvRG3IGwNk6OR2leJozWc\nm5Y32jICc1rVgbluH5QCdTK9CPs1N8LWFoSt6eZstPpW3igN59gTjYEW5eycqY/zaD1wcc4WijOk\n0rZewYEScd4PkAZhqwFzBJ0x75k7cOX+fKBUBK56sC/zIGw1ImXQmPJeuQIPQQuYhk66HuzL5RG2\nMEiK0LJk8BlyuyMCGQBgDoSthkwNEyWFkZLuKQmUghERYBxu19OYfZd873pN6uWYo+EmYAHz6lNv\nqYfAcYStRvUJXaU1mKUtL1CrVbtCnQSOMM8WskoxupW6QedQCZDO2PpJPcyvxrDMpKZbELZi2FdA\np277aDfWpaEH0hlTV6mDcdQUughbWxC28hlSKNdN2Q/7GtgU35L7vAcNPZDXXOd1YpxaAhdhawvC\n1vLGhqxNcu6Tvg01N6YGgP1qCFyErS0IW8tJGbLWLb1fxoYlvkkDwG6lBy7ujYis5gpaq/ee8/3X\nTQlLBC0AwBwIW41bMgjN/TmEJQCYF+3sOISthi0Vspb4TBoAAEBUTGraqBxBa/2zOb8OS+p7ngmh\nHcAcOEG+UTnD1kqq/UUHiV2Y6gNIr9QT5XOdIM/IVoMiBC1gKbtuHUPIArAEwhay4XAilkSwApAL\nJ8g3prZRLTpQAFhWqYcQcyJsNSRi0Iq4TACA7fiSOxxhC8WiwgMASkDYQnaMbgEAakbYakRtgYZR\nLQBAKQhbAACgN06QH46wheIwqgUAKAlhCyH0PcxJ0AIAlIZJTQEAQG+Hh4dbDyVu+0Lc+qFH7o3Y\niBJOkN+3/xjVAoA4VgEqRdu8VBjLdW9EwlYjCFsAgOjmDl25whbnbAEAgBBq/VLNyFYjoo9sMaoF\n1GffKAX1GtvMNcLFYcQtCFtpELYA5LapA6VuY5s5AhdhawvCVhqELQCRHBwcUK+xV+rAlStsMfUD\nAGBxpQWt9U6/tGVHfpwg34jIo36Rlw0AWp8jCtMRtgAA2IKglVcto4iErYYwggQA/RG0kAphC1kR\nAAFERNBCSpwg3xh3D39lYsm4wuoMTihGaQhYmAthC9nUNqq1aqhbD1x0WCgB5RRL4jBigyKEnKHL\nEL1hPLl80Zd3LtvWu9XtgZgoj2Wp4csrYatROQNXhLCXEgHjSGvrCwB9EbYaliP0tBK0+v69BgcH\nB02sJ7BCeV9e6aNbhK3GLRl+pn5WtAau7/JEWe7UoWjo+0XZDgDKVHLgImxB7j576KppRGtMaMkd\nNNY/P8WyjH2P3NsBSIWyjCH23ojazG6S9DxJD7j707rH3i3pqd1TvlHS37v7FWZ2kaRPSbqn+9tt\n7v7S7jVXSnqbpMdIukXSK7xHD8yNqJeVelqIOfbJnN9u5m5Ac3wz27ZOU5Zl6nYq+RsqypeynlOW\nlzdl/+W6EXWfsPVMSf8k6e2rsHXi72+S9A/u/ktd2Hr/lufdLunlkj6io7D1Zne/de8CEraySBG6\n5twfczRwS31TXbJx7rNOQ5Yn9Taio0IOqcox5TePKsOWJG0LUXa01P9H0ve4+6d3PO88SR9292/t\n/v9CSc9y95/p8dmErcz6Fs6lt3/Khm7pQwJLNNJj1mnTctU42oe2EbbKVmLYmjqp6TMk3e/un157\n7GIzu1PSP0j6z+7+vySdL+m+tefc1z22kZldJ+m6icuGRKKG2FWFm9rg5Tj3ItWy73rvpV8LAEs4\nPDwsrq2aGrZeKOnmtf+flvRkd/9Sd47W75vZ5UPf1N1vlHSjNGxkC22aElxyV9jcnw9gOEa0MNTo\nsGVm50r6EUlXrh5z9wclPdj9/lEz+4ykp0g6JemCtZdf0D0GJDMkdBFyAAxBwMIUU0a2vk/SX7n7\nI4cHzeybJX3Z3R82s0skXSrps+7+ZTP7ipk9XUcnyL9I0q9PWXBgm203QCZgxdT6vSQRH+UTU/W5\nGvFmSc+S9ERJ90t6rbv/ppm9TUdTO/zG2nN/VNIvSfqqpK91z/3v3d+u0pmpH26V9DKmfgCwQoeG\nJfX98kW5jGnsl+fQVyPmRNgC2kCnhqXt67Apk3ERthIjbAHtoHPD0raddoDYCFuJEbaA/lLfAWAO\n++opHR6AfUoLW9wbEUAoqW+YDQC5EbYAhEToAlALDiMCFanhMGJEHNoE4ijxdj2MbAEVKTHIlIAR\nNgBTELYALKbkMEjgAjAWYQsAeiJwAXmVWgcJWwAwACfuAxiKsAVUJuqhuqjLNRaBC1hWyXWOqxGB\nCkW8KrH2+skVi8B8UgUtZpDfgrAFjBMpcLVaNwlgwHQpR7Ryha1zU70RgFjcPUTgajFoEbKA6Uo+\nbHgSYQsAAGRTU6jahhPkgYrlHlXK/fk5MKoF4CRGtoDK5Tqc2FrQImQB2IaRLaABSwef1oIWAOxC\n2AIasVQAajFoMaoFYBcOIwINWQWhOQ4rthiyJIIWgP0IW0CDUoauVkOWRNACpmrhSkSJsAU0bUro\najlkSQQtAP0RtgA0H5wALK+VUS2JE+QBAMDCWgpaEmELAAbjECIwXmtBS+IwIgBUab1DIxwiihaD\nlsTIFgAMUmJwabWDQxwHBwdNl0NGtgCgIts6tNXjJYZFlKnlcHUSI1sAUAk6N0RBWTyOkS0AAJAE\nIWszwhYAFG5IB3dwcMChRAy2q9wQsPaz6JMZmlnvBYy+LgDKFy2ojO3ooq0HYqotSA25W4a7J7uJ\nLOdsAcAAkTqfKcsy9rWR1h8oBSNbADBQhFGhlKGnz/qc/LwI2wDzqTVU5xrZImwBwAg5w0aUjpDA\nlc8cU3lEKVdzyhW2OEEeADAKJ9vnN3YftBCsImFkCwBGWjpoRO0gCVzL2lYOxhwObg2HEbcgbAGI\nbKmgEb2TJHAtI3o5iI6rEQGgQHR+R9gO82Mbl4uRLQBIZK7RnZI62ZJHuKLeP7Kk/R8dhxG3IGwB\nqMXQTrzkTjZaYNlnynlQqT5z/bNK3veREba2IGwBqE2rJzJPDZuMHGIqwtYWhC0AgDRP2CJotYWw\ntQVhCwCwLkXoImS1iUlNAQCYEQELuTCyBQAoUt8RLkIWVjiMuAVhCwCwz8ngRcDCJoStLQhbAAAg\nBWaQBwAAqBBhCwAAYEaELQAAgBkRtgAAAGZU1TxbQ058AwAAWAIjWwAAADMibAEAAMyIsAUAADAj\nwhYAAMCMCFsAAAAzImwBAADMiLAFAAAwo71hy8wuNLMPm9knzexuM3tF9/gTzOyPzezT3b+PX3vN\nq83sXjO7x8yevfb4lWb2ie5vbzYmxgIAAJXrM7L1kKRfcPfLJD1d0vVmdpmkGyR9yN0vlfSh7v/q\n/natpMslXSPpLWZ2Tvdeh5J+WtKl3c81CdcFAAAgnL1hy91Pu/vHut//UdKnJJ0v6QWSfqt72m9J\n+qHu9xdIepe7P+jun5N0r6Srzew8SY9z99vc3SW9fe01AAAAVRp0ux4zu0jSt0n6iKQnufvp7k9/\nI+lJ3e/nS7pt7WX3dY99tfv95OObPuc6Sdd1/31Q0l1DlrNyT5T0t7kXIhC2x3Fsj+PYHsexPY5j\ne5zBtjjuqSnfrHfYMrOvl/S7kl7p7l9ZP93K3d3MPNVCufuNkm7sPvcOd78q1XuXju1xHNvjOLbH\ncWyP49gex7E9zmBbHGdmd6R8v15XI5rZ1+koaL3D3X+ve/j+7tCgun8f6B4/JenCtZdf0D12qvv9\n5OMAAADV6nM1okn6TUmfcvdfXfvT+yS9uPv9xZL+YO3xa83s0WZ2sY5OhL+9O+T4FTN7eveeL1p7\nDQAAQJX6HEb8Tkk/IekTZnZn99h/kvQGSe8xs5+S9AVJPyZJ7n63mb1H0id1dCXj9e7+cPe6n5X0\nNkmPkXRr97PPjf1WpRlsj+PYHsexPY5jexzH9jiO7XEG2+K4pNvDji4MBAAAwByYQR4AAGBGhC0A\nAIAZhQ1bZnZNd7ufe83shtzLs4Qdt0Z6nZmdMrM7u5/nrr1m462RamFmn+9u8XTn6lLcMbeKqoGZ\nPXWtDNxpZl8xs1e2VD7M7CYze8DM7lp7rNlbh23ZHr9iZn9lZh83s/ea2Td2j19kZv9vrZz8xtpr\nat4eg+tH5dvj3Wvb4vOrc7FrLx87+tdl2g93D/cj6RxJn5F0iaRHSfpLSZflXq4F1vs8Sd/e/f4N\nkv5a0mWSXifpP254/mXdtnm0pIu7bXZO7vVIvE0+L+mJJx57o6Qbut9vkPTLrWyPtW1wjo4mE/43\nLZUPSc+U9O2S7ppSHiTdrqPbj5mOLtR5Tu51S7g9fkDSud3vv7y2PS5af96J96l5ewyuHzVvjxN/\nf5Ok/9JC+dD2/nWR9iPqyNbVku5198+6+79IepeObgNUNd9+a6RtNt4aaf4lzW7QraIyLN8SvlfS\nZ9z9CzueU932cPc/k/TlEw83e+uwTdvD3f/I3R/q/nubjs9veJbat8cOTZaPlW405sck3bzrPWrZ\nHjv610Xaj6hh63xJX1z7/9Zb+9TKjt8aSZJe1h0WuGltmLOF7eSSPmhmH7Wj2zhJu28VVfv2WLlW\nxxvJVsuHNLw8nK+etw6rwEt0fIqdi7tDRH9qZs/oHmthewypHy1sD0l6hqT73f3Ta481UT5O9K+L\ntB9Rw1bT7MStkSQd6uiQ6hWSTuto6LcV3+XuV0h6jqTrzeyZ63/svlk0NX+JmT1K0vMl/U73UMvl\n45gWy8M2ZvYaHc11+I7uodOSntzVp5+X9E4ze1yu5VsQ9WOzF+r4F7YmyseG/vURc7YfUcPWtlv+\nVM823BrJ3e9394fd/WuS3qozh4Kq307ufqr79wFJ79XRug+9VVRtniPpY+5+v9R2+ehw67ATzOwn\nJT1P0o93HYi6wyFf6n7/qI7OQXmKKt8eI+pH1dtDkszsXEk/Iundq8daKB+b+lct1H5EDVt/IelS\nM7u4+xZ/rY5uA1S17hj6WbdGWhWEzg9LWl1ZsvHWSEst79zM7LFm9g2r33V04u9dGnirqGWXehHH\nvpG2Wj7WcOuwNWZ2jaRflPR8d//ntce/2czO6X6/REfb47MNbI9B9aP27dH5Pkl/5e6PHA6rvXxs\n61+1VPux9BUBfX8kPVdHVwt8RtJrci/PQuv8XToawvy4pDu7n+dK+m1Jn+gef5+k89Ze85puG92j\nAq8Q2bM9LtHR1SB/KenuVTmQ9E2SPiTp05I+KOkJLWyPbv0eK+lLkv712mPNlA8dhczTkr6qo3Ml\nfmpMeZB0lY463c9I+m/q7qZR2s+W7XGvjs41WbUhv9E990e7enSnpI9J+sFGtsfg+lHz9ugef5uk\nl554btXlQ9v710XaD27XAwAAMKOohxEBAACqQNgCAACYEWELAABgRoQtAACAGRG2AAAAZkTYAgAA\nmBFhCwAAYEb/Hw0GP4uAhxQSAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a03371f0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "440\n",
      "Action_times\n",
      "459301\n",
      "Epsilon\n",
      "0.635407816364\n"
     ]
    },
    {
     "data": {
      "image/png": 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rB2EUghZyQtgqAI0OclVz4EpldC/H9iPHdUbdCFsAZlVz4EpFTuElp3UF1rhd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\nLQAAgAn9fxbu0iqXXvveAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032e0b390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "450\n",
      "Action_times\n",
      "472160\n",
      "Epsilon\n",
      "0.627417183136\n"
     ]
    },
    {
     "data": {
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Z+NF4oEab9X59rSlCF4AaVHkYsa9QAYmgBRxV8wU+CZr70V6iJIxsdTTmbMa5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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032b32f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "460\n",
      "Action_times\n",
      "484480\n",
      "Epsilon\n",
      "0.619857268138\n"
     ]
    },
    {
     "data": {
      "image/png": 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KH6WyRVmPXEQJWl3UVrfQHmVjPjm0vYStwlDh55VDpcd2OYY/xEL7i10IWwWpraJHPXwX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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032a4fd30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "470\n",
      "Action_times\n",
      "492318\n",
      "Epsilon\n",
      "0.615095891083\n"
     ]
    },
    {
     "data": {
      "image/png": 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oEWELyEDpgStV8CFwxULQQqkIW0AmSg1cqQNP6vfHIYIWSkbYAjLCicMAkB/CFpCZki4J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\nAAAAZkTYAgAAmBFhCwAAYEb/H5rs755+Zvc3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032df2400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "480\n",
      "Action_times\n",
      "506225\n",
      "Epsilon\n",
      "0.606739066393\n"
     ]
    },
    {
     "data": {
      "image/png": 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VYjwoH2ErIRoYANSNcaAOhK3EaGgAUCf6/3oQtgKgwQFAXej360LYCuLg4IDG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\nmf1tq568q/Wcksujd/sovDw+2CqLr67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      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0329d40b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "490\n",
      "Action_times\n",
      "509939\n",
      "Epsilon\n",
      "0.604526888058\n"
     ]
    },
    {
     "data": {
      "image/png": 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Vv11V76uqd1TVn98sf1FV/UlVPba5/cTW37ysqt5fVU9U1Y/WHK5HAgBwpF1G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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0335dc400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "500\n",
      "Action_times\n",
      "527669\n",
      "Epsilon\n",
      "0.594078822134\n"
     ]
    },
    {
     "data": {
      "image/png": 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QMSOOTbAJGZSWfD+Oy2Udzw1bLukTZvY5M7upm/Zcdz/XPf8rSc/tnl8s6eu99z7cTTuP\nmd1kZndthiYBIKVcKmiEM3SbmtmTj5CfG+p9GC6ndTz3APkXuftZM/vnkj5uZl/s/9HdfczZhL33\n3SrpVmnc2YgAEAoHzNdhTIO7HbA2/z92pvuYg+ZzCgA1y209zwpb7n62+/dRM/uIToYFHzGzi9z9\nnJldJOnR7uVnJV3ae/sl3TQAGcqtsloCgatsqcvw1O+jjIWVY901eRjRzJ5hZs/cPJf0o5Luk3SH\npNd1L3udpI92z++QdKOZPd3MLpd0paTPTP1+tCfHHQj1o9yVaex2OzRsOObaTMAuc3q2nivpI10h\nvFDSb7v7H5rZZyV9yMxeL+lrkl4tSe5+v5l9SNIDkp6QdLO7f2vW3ANAAlxbKX+lhmLKVHjr9Tq7\n8jA5bLn7lyX96x3TvyHph/a85xck/cLU7wSQRm4VVS4IXXUa0nNlZtylBJNxb0QUhRCQBmHiMMph\nXtge2JZbHUbYAgBgAbkFAsRD2EJx+BULIJQxB7+HOlB+vV4TtBpD2EKRWglcSy4njQEQHvtVOjmt\na8IWilV74Kp9+UrH9sFYOTX+SIuwhaLV3OAx1AAMU8J+UsI8Ih7CFopXc+ACMEzOYSbneUMahC1U\ngcAVB43EYZQ7AEMQtlANGr66mdmoRyqUu3yM/XEwpZxw6x5MQdhCVWj4wlu6d2tqeEoZvCh32Gfp\n/Qd5IGyhOjR8dQgZlFKELsodgH0IW6gSDV9YKX+dxwxGBC4ASyBsAchGiiG/1Md0AQBhC0AWUgcg\nAhdQt5x6mglbABa3VPAJ/b0cDA1gF8IWqpXTrxrst3QPU8ibCwPALoQtAEAV+IGFjdzKAmELwGKW\n7tXamDsf9GotL7fGFegjbAEYJPSNsXMJWgAQG2ELwCi19uJMDX+1ro/SsB2QM8IWgNHmNmy59mrl\nOl8YhsCFXBG2UDWO44iHho11kKMx28TdR3/+lPcgrRzrfcIWgMkIGwBwHGEL1cvxV05NxgYuhuoQ\nGz8CkBvCFppA4IqrpsaNMFiHmsokhsu1ridsoRm57oS1oHEDgN0IWwCCIXABwPkIW2gGQSAN1jNy\nMaQsjjm7cMqZiPSoQyJsAYiAwAUATyFsoQk0/um1sM7ptQAwBGELQDS1B67al68VQ4YH51zMlFAO\nwhYAoEqEHOSCsAUgqtJ6f4b2YJS2XC1ar9dPPo45tN1D3KKH4Nc2whaApGq4txxBqzw5bDMCV7sI\nWwCAJhwLXLt+CIT+cUDgahNhCwBGyKGHBNMNCVz9RwwErnhy3T8JWwDQqWGIE8fl0CATuOLJYftu\nI2wBSK7UUJNjJY5plt6WS38/0iJsAVhEboErt/lBfEsFHoJWfLmt4wuXngEAWBpBq139RjnF0F5u\nIQBp0LMFYDElhRwayfoNvSbXnM9Hm+jZAhDVsd4Cd5eZJZqb3d8P9O0LRVN7vghZy1iv19mciEDY\nAhDN0IpuqcDF1eIxxqYcDCnXlBn0MYwIIAupe5jo0cJUh4JU7KFIlImeLQDRbDc6uQwpjglaNJzY\nZdcQFWUF+9CzhSbkMm7fuiG/+mP2OMW8KjjaQ7jCUJZ7xWNmg2cw92XB8qgc8zEkAIfq5ZpTN1Bm\ngDLtqmPG1CnuHqybnZ4tAIsYEmLm3qOOniwAOSBsIVtmdt4DdRnTazTkBsEpbiIMAGMRtpCNIcGq\n9PDFsWPnmzpMtx2sCFcANnKrawlbWNTc4DT2vUvtgKvVKrudPyccFwWgZlz6AYsI3Su1+bzcejcI\nWMPlcLVnQh9QvqXrkV04GxHJ5XAdpZCN6pgdm8b8uFAV5dBbrrBNgDqEPsM55NmI9GwhqVTHWZlZ\nkvCd4y+o0s3t4ToWnghXQH1yr4s5ZgvJpD6g/dD3hdgxc9+5SzYlEHGbFAC5ImwhiaXOHIwVuKa+\nl4A23JjgRMgC2pZ7HcAwIqJb+hINh4YUV6vV6J2UwJTOoW2z2Q65V7IAwAHyiGrpoLUxtGwMPah6\nDsIBAMRxrK5e6gB5whaiyiVsSXmVDwIXgCHowR0n17A1+ZgtM3u+md3dezxmZm8xs7eb2dne9Jf3\n3nOLmZ0xswfN7KVhFgG5yiloAUDJOHxhmFxDaZCeLTO7QNJZST8g6T9J+n/u/r+2XnOVpA9Iuk7S\nv5D0CUnPc/dvHflserYKlGvQyqmM5FopAMjTlGNMW3QomBbXs7XlhyQ95O5fO/CaGyTd7u6Pu/tX\nJJ3RSfACkskpBPJLFcAYBK1yhQpbN+qk12rjzWZ2j5ndZmbP7qZdLOnrvdc83E07j5ndZGZ3mdld\ngeYPyBKBCwDqNztsmdnTJL1C0u90k9aSrpB0taRzkt4x9jPd/VZ3v9bdr507f0DuuEk1ANQtxHW2\nXibp8+7+iCRt/pUkM/sNSb/f/fespEt777ukm4bK5DRUV5KYt6gBgBbk+sM1xDDia9QbQjSzi3p/\ne5Wk+7rnd0i60cyebmaXS7pS0mcCfD8wCmEQAJDSrJ4tM3uGpB+R9NO9yb9sZldLcklf3fzN3e83\nsw9JekDSE5JuPnYmIgAAQOm4qCmCK6HnqLaywjAigNYNGUIs/dIPAAAA2IGwBQAAipbrgfEbhC0A\nAFCs3IOWRNgCAACIirAFAAAQUYiLmgJFqe1MRABoWf9s7FyHFOnZQnCEGQDAEtbrdZaXwiFsAQCA\nquQWuAhbAACgOjkFLsIWmsIQJwC0I5fARdhCFDmGmhznKYRcKhMAwG6ELURTa7jJCUELAA7LoZ4k\nbCGqXAJXLvMRUg4VCADgOMIWUCCCFgCUg7CF6JbuVVr6+0MjaAFAWQhbSGKpwEPQAgAsjbCFZFIH\nH4IWACAHhC0klSIAuTtBCwCQDcIWkosZhmoLWRJBCwBKR9jCYkIGoxp7sySCFgDMtVqtlp4FXbj0\nDKBt/YBkZpPfWyOCFgDUgbCFbNQensYgaAHAfDn0akkMIwLZIWgBQF0IW0BGCFoAEEYuvVoSYQvI\nBkELAOpE2AIyQNACgHoRtoCFEbQAoG6ELWBBBC0AqB9hC1gIQQsA2kDYAhZA0AKAdhC2gMQIWgDQ\nFsIWAABARIQtAACAiAhbQEIMIQJAewhbQCIELQBoE2ELSICgBQDtImwBkRG0AKBthC0AAICICFtA\nRPRqAQAIWwAAABERtoBI6NUCAEiELQA4ZbVaabVaLT0bACpy4dIzAABL2xWuVqsVvZMAgqBnCwD2\noIcLQAiELQDNO9SDReACMBdhCwCOIHABmINjtgBggH7g4lguAGPQswUAI9HThVg4G7ZOhC0AmIAG\nEaH1yxTlqy6ELSAChpnaQIOIEPb1ZlG+6kHYAgBggJDhZxOwjn0mgasO5u5Lz8NBZjZ4BnNfFrSB\nXq0yzWnU2OZ1yyHwUMbG27XdzGzw+919+IuPoGcLAGbKoTFGWEN7nlLJZT4wDZd+AALi1ydQjtIC\nDLeQKhdhCwAC2DTcNIb5Ky1koXyELQAIiIuf5ouQhaUQtgA0L1YjvP25hK94Dg2xEbKwNMIWAKBo\nmzBFqEKuOBsRCIjKHkiLfQ4lOBq2zOw2M3vUzO7rTXuOmX3czL7U/fvs3t9uMbMzZvagmb20N/0a\nM7u3+9s7bczFLgAgEhrrcrHtUIohPVvvlXT91rS3Svqku18p6ZPd/2VmV0m6UdILuve8y8wu6N6z\nlvQGSVd2j+3PBICkaKzLxbZDSY6GLXf/lKRvbk2+QdL7uufvk/TK3vTb3f1xd/+KpDOSrjOziyQ9\ny93v9JPLvL+/9x6gKjQCZWA7lYtth9JMPUD+ue5+rnv+V5Ke2z2/WNKdvdc93E37h+759vSdzOwm\nSTdNnDcAOChVY21m3EYssJDbroSjWSg/dZh9gHzXUxW0NLj7re5+rbtfG/JzgVT45Z3OmFuqxL79\nipmdeuz6fkzH+mMdlGpqz9YjZnaRu5/rhggf7aaflXRp73WXdNPOds+3pwPAJNuNzlKN0LHeke3e\nLW65Mg0hAyWb2rN1h6TXdc9fJ+mjvek3mtnTzexynRwI/5luyPExM3thdxbia3vvAYDBcrg58KHe\nK4S39PbODeujPEMu/fABSZ+W9Hwze9jMXi/pFyX9iJl9SdIPd/+Xu98v6UOSHpD0h5JudvdvdR/1\nJknv0clB8w9J+ljgZQFQsaVDVsiARWM5Dj2B56MMlcVyP/jOzAbPYO7LgrbQQIST6xDhGLvqJ8rI\nOKHLQQk9k8faNcrQfrvKy5ht7u7BCghXkAeQtdRBK+UQIb0T4xAsUCrCFoAspRw2XPIYrKWHR0tD\n4DqNslMGbkQNILmlG4gSho+AoTb7E0E0X/RsARFQ6e2Xw0HuS303ENPSP2KwHz1bAJJZ4vgroCWH\n9jF+BC6Hni0AVeEaWPUjNKA09GwBB+yr1OmuzwvBCkDOCFvAliG/mjevIXQtp8SAdejG1NzGZ5z1\nes3+NwJla1mELUDTKyJCVzolhisgBwSt5XHMFpoXoiLa/gzCVzi1HX91aFkoNwhlvV4/+cDyCFto\nWsiKiEotjP4B7jWFLCAV6qL8MIwIRMIxOMMRqp7CBSoxFWUmX4QtVGmpSoeDdochXB1HWMcYlJW8\nEbZQjRwrGxrM8xG0Dp+VCKA+HLOF4uV2EGh/XnKar6VtevwIGcNxk2oMQT2TP8IWikYlUyZ3J3SN\nQOACykbYQrEIWuVrOXCNHU4lcAHlImyhSLkHrdyGNnPWcuAai8B1GvsY66AUhC0A0R0LCQSu4Qhc\npxE2UALCFopD5Vqn0gPX5ji0McejTTkzk/IPlIdLPwCIZmwvjLtXc2mIfYFrzvIRtIAyEbZ6Sqjk\nS//1j3ZMHe7alPES9seNMfvllH2YkHUYFxNG7ghbKAqNThlo+M63r+weWleUd6AOhC0AQYUKWqX0\ncB3qqRoSlvqv4b6IQJ0IWwCCidGjVepxXFMCEyELqBNnIwIIIubQYa7HKu6bL0JTeqxz5IywBWC2\nFMdo5Rq4ttHoL4eLCSNXhC0Ak6W+UXJOgWvXvNDQ54HtgNwQtgBMstQZhzkFLuSLwIWcELYAFGfM\nVdpToXHPD9sEuSBsASjWUoErt6AHIG+ELQBFI/jgEHq3kAPCForClcnzkNt2SBm4CHfIBUGyHIQt\nAFUgBKElBK2yELZQnNx6VVqT8/qPHbgIdACm4HY9QCFWq9Xiv2ZzDlobpdxTEels9pvt8ltieF66\nDsA09GyhSCU0+iFtljf1RUR3zUMpQjekJTbMOK30K8yXPO+tI2wBmdsVcpYMXSUhIGEXQgtSYxgR\nxdqEjZorzmOB6tjfQ6yb0kOdu88eUiS0YUk113GtoGcLyFSIkDO3B6z0oLVBWMI2Asxxtez/OSBs\noXg1Vgihl2ns59U4TEngwrYSAtfS81hqXZDbPDOMiCrUMqQYs4LIrfJZwpQhRUIaWrRdX+RwNnTJ\nCFuoSikVAsFnOVwaAjhsX/1E/Todw4ioTo47Wl/u89eKIT1W9GrVr4TwkNKh+ol1NR09W6hSrsOK\nBK28hDhTEYglZf2V4szmFHKtYwlbqFrIHW9uZZNrJdC6fYGLXq127LvC/JJyCjc5zcshOW2/bZZ7\nhWJmg2dw7rKU8As39+1Vu6mVTs6VAE5s7/9T9rVSGiWEFXr/Tl2OaujVGroNxrTz7h4sFHDMFjDC\nlEqVoFWGfrjiRw3GKCGM7NNS0FoSPVunv2vW+1PIfXu1Zl9FNHfnpyyWq4TGCfHM3ffp1Rpn7Ppe\nqmeLY7aAGUr4RZWbUJX3mHU/5DvZlghhvV4XU5ZKmc99Spp/hhEBJLFer4P+Sh76eUO/M9T8ldQA\nII7ce4NqUNp+Rs8WgOhiNj6hPztEz8TUS4+UctFIlK+0sNJX4rzTswUgmtC9WamkHuos9f5z2K/E\ncl+CUvcTerYAYIdND1fIocXtz9puOGig25XTBUxzVOI893E24unvmvX+FHLfXgijhrJIcDgft0Jp\nS85n+g0NL0uXy9Ahi7MRAaBy+65UvnSDhjhq2K4cRxgGx2wBQGJLNF6lD8MgLAJUWoQtAMFRkR+3\nWUccq4PcUW7mI2wBwEIIpVgS5S+do2HLzG4zs0fN7L7etF8xsy+a2T1m9hEz+85u+mVm9ndmdnf3\neHfvPdcWQ7lRAAAYpElEQVSY2b1mdsbM3mklHAEMYDQqcAA4bUjP1nslXb817eOSvtfd/5Wkv5R0\nS+9vD7n71d3jjb3pa0lvkHRl99j+TACFI2jljyEhIL2jYcvdPyXpm1vT/tjdn+j+e6ekSw59hpld\nJOlZ7n6nn5wv/n5Jr5w2ywCAMQhYwLJCXPrhpyR9sPf/y83sbkl/Lem/u/ufSbpY0sO91zzcTdvJ\nzG6SdFOAeRuFa1gB09GrBQC7zQpbZvY2SU9I+q1u0jlJ3+Pu3zCzayT9npm9YOznuvutkm7tvoME\nBAAT0auFUtVUdiefjWhmPynpxyT9RDc0KHd/3N2/0T3/nKSHJD1P0lmdHmq8pJsGAIhkX2NVUyOG\nNCgz80wKW2Z2vaSfk/QKd//b3vTvNrMLuudX6ORA+C+7+zlJj5nZC7uzEF8r6aOz5x4AMAmNJySG\n/1MZcumHD0j6tKTnm9nDZvZ6Sb8u6ZmSPr51iYeXSLqnO2brdyW90d03B9e/SdJ7JJ3RSY/Xx8Iu\nCgBgY0iYInBByjNw1VY2uRE1kKESLkO3vb/lWGG3aEojxbaDNKzspCorscLWUjei5gryANC42noR\nEE+KslJjeSRsAUAl5jRSq9WqykYOww3ttYpZTmotg4QtAEHUWkmWIsT6ZzgRQ8XY32uuQwhbAFC4\nmhsp5Ctkuau9DBO2AARTe4WZI9Y5lhSi/LVQhkPcrgcAsIAWGinkb1MOxw5Dt1R+ufQDkKESL/3Q\nx7E/6YRqsNhmkOKXp6UD1lKXfiBsARkqPWxJNN5AiZYOQ7FxnS0AAIAKccwWAACY5VhPdu09ZsfQ\nswUAQCS1h4z1ej3okIGhr6sVPVsAAESwWq2qDRhTl2vzvtpD6DZ6tgAAiICgdfgzal0/u9CzBQAA\nzpMiDK3X6yZ6uQhbAABAUr29cUtjGBEAACymhYBH2AIAAIuqPXARtgAEV3vFCQBjELYABEXQAoDT\nCFsAAAARcSNqIEMl3oiaHi0ASxl6+YilbkRN2AIwG0ELQC4OBS/C1h6ELSBfhCwAOdoXuAhbexC2\ngPwQsgDkblfgImztQdgC8kHIAlCafuhaKmxxux4ARxGyAGA6erYA7EXIAlCDTe/WUj1bXGcLwE4E\nLQAIg7AFAAAQEcdsATgPvVrlG3qRx6koI8Bw9GwBOIVGtHyxg1aq7wBCWbpeI2wBQEUIQUB+GEYE\nGrf0Lz6EsUTIWq1WlB9gAMIW0CgayTrQkwUct/R+wjAi0CCCVh2WbkAADEPPFtAYglb55oasoRd2\n5ELRQBiELaAhBK2yTQ1ZY66afeh9hC9gGoYRASBzq9UqedAa+lkMZQLHEbaARtCr1RYzCxq0+p8L\nYByGEQGgMrED0ebzN8OKNV0CYldPXS3LhuUQtgA059jQV8mNa8qeJzOrKnDtKxc1LFvLchjqZhgR\naAANxVOGVLw5VM4bY+ZliSG+/nfmtN5Cq3nZEB9hC0AzxjSYOTSuuQetXd8952D+JQ0N4SUuG5bH\nMCKAJtTcSOZw0Hp/SFE6vb5r61mtedlqk8t+b7lfN8XMBs9g7ssCLKX1BmFOhbvUuhs6zzkErY0h\ndXCOZTFUg5zjsrVue9uO2V/cPdjOxTAigKrl8su2BUMasty2R27zg3By2raELQDVClHZ5lRhb8up\nV2sjx3naJ+dti7oQtgBUK9SwDo1yfdimSIkD5AFUbb1eB+3hSnFcDkEgvn3lYtf2ZXtgLsIWgOpt\nGtBQoSuHA6FzHq7bPjMxd8e2Z//vBK8y5LadCFsAmhGqlwvz5BJYp8xDDvON8nDMFoCmrNfrJx9T\nxQ5sNOhAXQhbAJo1N3RhOnoYEUuOZYuwBaB5UwLXkr1bOR+vhTZt7w/c2ug0whbQACq94+jhSo8G\nuS6b7bnkNs21PBG2AKBD4FpGrg0khsth38m5HBG2AKAnh0ZjI6d5iS3nhhL5y738ELaARuReGeWk\npZADID7CFgDskHPgKumCoQAGhC0zu83MHjWz+3rT3m5mZ83s7u7x8t7fbjGzM2b2oJm9tDf9GjO7\nt/vbO43TaYDk6N0aJ+fABeSO/ecpQ3q23ivp+h3Tf83dr+4efyBJZnaVpBslvaB7z7vM7ILu9WtJ\nb5B0ZffY9ZkAIiNwjUODAYzD9evOd/R2Pe7+KTO7bODn3SDpdnd/XNJXzOyMpOvM7KuSnuXud0qS\nmb1f0islfWzKTAOYJ5fbpZSif5sf1ttxDHO2iX1jvznHbL3ZzO7phhmf3U27WNLXe695uJt2cfd8\ne/pOZnaTmd1lZnfNmD8ACCa3X+s1Bhp6XVGrqWFrLekKSVdLOifpHcHmSJK73+ru17r7tSE/FwAA\n1KWEkD4pbLn7I+7+LXf/R0m/Iem67k9nJV3ae+kl3bSz3fPt6QCAiXLs3cpxnlCvEoKWNDFsmdlF\nvf++StLmTMU7JN1oZk83s8t1ciD8Z9z9nKTHzOyF3VmIr5X00RnzDQCoUCmNJzDGkEs/fEDSpyU9\n38weNrPXS/rl7jIO90j6QUn/RZLc/X5JH5L0gKQ/lHSzu3+r+6g3SXqPpDOSHhIHxwPAbDn1JIWa\nFwIXhiipnFhOO+ouZjZ4BnNfFiAnOR3sjf2GNCg5XLYwRv1LGcU+U4PWmH3F3YPtWFxBHgAKV+sP\nzZJ6LpBOieWCsAUAFVgycMX87hIbVsRTankgbAFAxsYMpS0RuFJ8Z6kNLMIquRxwzBbQsBKOieFq\n9+c71uikOoYrZZ1LGWhbqKC11DFbhC2gcbk3Yocq2dznPZV96yhW6FqqrmV7tylkjxYHyAPADoca\n2JKHFULadyshdw8ajEJ/HnBMLfs4YQtA0WqpjGMKEZAIWUitpn2bsAWgeDVVynMc6gXc9EoN7Z0a\n+/oU2M7tqG1bc8wW0LhSjoMZUvmWsiwpzG2sxq7LlI0j27luMcsSx2wBwEy1/Rpewr7jv4a8LxW2\nc71q3baELQBVqbWyHmuJwDQ1qE3Bdq5PzduUsAWgOjVX2mOMCT8hQxKBC1PUPDxM2AJQJRri4WI0\ncgQu4CmELQDVoiE+cSj4xAxFBC6MVWvv1oVLzwAAxMTtfk6s1+tFQkno72VbokT0bAGoHj0fJ0oO\nKikPvseyatzOhC0ARZhbARO4zpeqUQtxliPaUts2J2wBKAaBa77SGrHS5hfh1LTtCVsAilJTBbyU\nUobkSphHxFVLGSBsAShOLRVwS/Zts03w2w6AbGPUhLMRARRpqbPrMN9Sl6JAmWrY17kRNQY5dvNO\n1n25Sm/cplTCpS8z0JpQYYsbUSM7ZvbkI+RrgZAITgByR9jCeeaGJoIXUhsbuEofkgBaU/qPKsIW\nnhQjIBG4kAqBC0CuCFuQFDcU0cuFVAhcAHJE2GpcyiBE4EKOCFwAYiNsNWyJ8EPgQmxTju0gcAGI\nibDVqCVDD4ELOVqtVoQuAFFwUVMswsy4Nhey1A9cpZ8BBSAPhK0G0bMEDLPd00X4AjAFw4hYDKEP\nJSFoAZiKsNUYAg4AAGkRthqSY9DKcZ5aw0Hhx9GrBWAOwhYAAEBEhC0sjt6t5dXUu1XTsgCoA2Gr\nEQQaHFNDSImxDAwhApiLSz8AeNJqtZocLua8Nyc1LAOAvFjuF5Y0s8EzmPuyLCn3ni22XX6Gho5c\nrkU1p1eLgFW+qdufbV+OED3XY9pCdw/WcBK2GpF72JLYfjnbbpCOVXqpGzAa2rYRtOsX6hCBpcIW\nw4gAjhpb0aUcUiRota2GYw1RPw6QBxBFikaQoNWuUDcOJ6whBYYRG8EwIpYUOtwwbNQ2zjptS8jt\nvdQwIj1bAKILWVnSE4EYKFf5qiEI07PViNx7tth2SKGGSrt1sUMRZSRfJZ+NSM8WAKAIOR8HCBxC\n2AIAZC3UwfBjvg/5KbnXkbAFAMjWUsGHwIWQCFuNyPmYqJznDUC7CFwIhbAFoAklD0FgOamHMHFY\nqfsxV5BviLtnf1YiAOSoH7hKbfCxHC790JjcwhbbDCnQOJarhF4lyld6U8sF90ZEEvRuAUBY9Hrh\nGMIWFkOvFlKg8UNKQ3pcKJPt4QD5BuUQcnKYB9SPRg054qD7+Urbt+nZatSSw4kELaRQWmWM+lAG\nsUHYatgSgYughRRo5LAkyh+2EbYalzJwEbSQAg0dlkLZS6e0YViO2YLcPXoQImghBRo7LIWyh0OO\nhi0zu83MHjWz+3rTPmhmd3ePr5rZ3d30y8zs73p/e3fvPdeY2b1mdsbM3mlcfyA7MQJRiiAHSDR2\nAPI1ZBjxvZJ+XdL7NxPc/T9snpvZOyT9de/1D7n71Ts+Zy3pDZL+XNIfSLpe0sfGzzJi2gSjEFmY\nkAWgBQT9tEobQpQGhC13/5SZXbbrb13v1Ksl/dtDn2FmF0l6lrvf2f3//ZJeKcJWtvpBaWjwIlxh\nKTR2WALlDkPNPWbrxZIecfcv9aZd3g0h/qmZvbibdrGkh3uvebibtpOZ3WRmd5nZXTPnDwFshgKP\nPQAAiKnEXi1p/tmIr5H0gd7/z0n6Hnf/hpldI+n3zOwFYz/U3W+VdKs07t6IANpD7wKWQLnDGJPD\nlpldKOnHJV2zmebuj0t6vHv+OTN7SNLzJJ2VdEnv7Zd00wAAKApBaxml9mpJ84YRf1jSF939yeFB\nM/tuM7uge36FpCslfdndz0l6zMxe2B3n9VpJH53x3QAAoBElBy1p2KUfPiDp05Keb2YPm9nruz/d\nqNNDiJL0Ekn3dJeC+F1Jb3T3b3Z/e5Ok90g6I+khcXA8AOCA0htYhFFDORhyNuJr9kz/yR3TPizp\nw3tef5ek7x05fwAAZIMhxHRqCFkb3K4HAABkoaaA1cfteoCKmFn2j9BqrZxbx3ZFTQhbAICsELRQ\nG8IWgOLRONeDbYkaEbYAAItbrVYELVR7AgJhC6hIy7dNoqEuEyELLeBsRADJxA6Dq9Wq2l/GtSBY\noUWW+y/hMfdGzH1ZgBRinPEXSqp9lMC1vJpDFeUrrphlZ0z96O7BKlOGEQFUp+aGvhQEEuAphC2g\nMrn28KaeLwIXgFwQtgAAUdTau0WQx1iELaBCufVu5TY/wFwELoxB2AIqlUvAyWU+gNAIXBiKsAUA\nBaPBB/LHdbYQxdhjNWgw4nD3RS8FQa9WPP195tj+s9SxUy3s11zbDUPQs4Wg1uv1pIpn6vtw3FKB\nJ4egVWtjP3a5al0PuWD94hjCFoIJEZYIXHGkDj45BC2cRiCIi/WLQwhbCCJkSCJwxZEqAOUUtChL\np6UMBIQP4CmELcwWo0GjkYzD3aOFoZifjdPm7B8pQhBBCziNsIVZYoYiAlc8IYMRIas8hCEgLcIW\nJksRhghccc0JSiWErJpDxdx9I9a6qXmdI75ayw+XfsAkKUPQer2udgfMRe6hCXFs9qsQ+zP7KLAf\nPVsYbYneJnq4gHjmBKXVakXQAo6w3H/RmtngGcx9WWqwdOihUscUS5fbmNgn8lFzOUshRVkec5Fn\ndw92RWiGETFYDhUJQ4rxDNm+rHsAGI9hRKBxY67eX+qV/gmJSIFyNl3t646whUFyamBzmpfSTV2X\nJW6D2itzoFQt7JuELaBRcwMTgWt5tS1PDdgm2IWwhaNybFRznKeShFp/JW4Hzp5DbJQvbOMAeQBN\nmtMg5hAyadDztlqtsignuWulHNOzBTQmdAPQYoPSSgOBeSgn2CBsoVgtNvLIx5INKY14OdhW+7W0\nbghbKBqBC0vi+C8MQRk5X2vrhGO2gIYQTuPoNxwx13FrDVRNOIbrKS2WY8IWjqKSAIYb05CM2a9a\nbKBqQ13abjkmbKF43MIHpTrWI0a5rk+rgav1skzYAhrSakVfgtYbo5aE3g9z3K8pz6dxgDwGYccB\ngHBCnFzR/4yc6uic5iUX9GxhsBx/PQFAyUIGkxzqaILWbvRsYRR2pPKF3oaUCSAfXP8tT4QtjMYO\nBQD5WqKOpl04zNx96Xk4yMwGz2Duy1KjpbusJXbyqUJsO9Y9kK9U9XNJ9YCZDX6tuw9/8bHvzT2g\nELbKF3uHL2lHz82cbcN6B/JH/XvaUmGLYUREF3NnLG1Hz83U9cd6B8pA/ZsHeraQTIxfWOzsYQzd\nNqxvoFyh6uCS6wGGEfcgbNUl9IX8EEd/O7GeAdSCsLUHYatOHCsEAEiNY7bQFI4VAgC0gp4tZOFQ\nTxcBCwAQAsOIexC2AABACAwjAgAAVKiqG1GPSawAAAAp0LMFAAAQEWELAAAgIsIWAABARIQtAACA\niAhbAAAAERG2AAAAIiJsAQAARHQ0bJnZpWb2J2b2gJndb2Y/001/jpl93My+1P377N57bjGzM2b2\noJm9tDf9GjO7t/vbO40LYwEAgMoN6dl6QtLPuvtVkl4o6WYzu0rSWyV90t2vlPTJ7v/q/najpBdI\nul7Su8zsgu6z1pLeIOnK7nF9wGUBAADIztGw5e7n3P3z3fO/kfQFSRdLukHS+7qXvU/SK7vnN0i6\n3d0fd/evSDoj6Tozu0jSs9z9Tj+5ieH7e+8BAACo0qjb9ZjZZZK+T9KfS3quu5/r/vRXkp7bPb9Y\n0p29tz3cTfuH7vn29F3fc5Okm7r/Pi7pvjHzWbnvkvR/l56JjLA+TmN9nMb6OI31cRrr4ymsi9Oe\nH/LDBoctM/sOSR+W9BZ3f6x/uJW7u5l5qJly91sl3dp9713ufm2ozy4d6+M01sdprI/TWB+nsT5O\nY308hXVxmpndFfLzBp2NaGbfrpOg9Vvu/n+6yY90Q4Pq/n20m35W0qW9t1/STTvbPd+eDgAAUK0h\nZyOapN+U9AV3/9Xen+6Q9Lru+eskfbQ3/UYze7qZXa6TA+E/0w05PmZmL+w+87W99wAAAFRpyDDi\nv5H0HyXda2Z3d9N+XtIvSvqQmb1e0tckvVqS3P1+M/uQpAd0cibjze7+re59b5L0Xkn/RNLHuscx\ntw5blGawPk5jfZzG+jiN9XEa6+M01sdTWBenBV0fdnJiIAAAAGLgCvIAAAAREbYAAAAiyjZsmdn1\n3e1+zpjZW5eenxQO3Brp7WZ21szu7h4v771n562RamFmX+1u8XT35lTcKbeKqoGZPb9XBu42s8fM\n7C0tlQ8zu83MHjWz+3rTmr112J718Stm9kUzu8fMPmJm39lNv8zM/q5XTt7de0/N62P0/lH5+vhg\nb118dXMsdu3l40D7mqb+cPfsHpIukPSQpCskPU3SX0i6aun5SrDcF0n6/u75MyX9paSrJL1d0n/b\n8fqrunXzdEmXd+vsgqWXI/A6+aqk79qa9suS3to9f6ukX2plffTWwQU6uZjwv2ypfEh6iaTvl3Tf\nnPIg6TM6uf2Y6eREnZctvWwB18ePSrqwe/5LvfVxWf91W59T8/oYvX/UvD62/v4OSf+jhfKh/e1r\nkvoj156t6ySdcfcvu/vfS7pdJ7cBqprvvzXSPjtvjRR/Thc36lZRC8xfCj8k6SF3/9qB11S3Ptz9\nU5K+uTW52VuH7Vof7v7H7v5E9987dfr6huepfX0c0GT52Oh6Y14t6QOHPqOW9XGgfU1Sf+Qati6W\n9PXe//fe2qdWdvrWSJL05m5Y4LZeN2cL68klfcLMPmcnt3GSDt8qqvb1sXGjTleSrZYPaXx5uFgD\nbx1WgZ/S6UvsXN4NEf2pmb24m9bC+hizf7SwPiTpxZIecfcv9aY1UT622tck9UeuYatptnVrJElr\nnQypXi3pnE66flvxIne/WtLLJN1sZi/p/7H7ZdHU9UvM7GmSXiHpd7pJLZePU1osD/uY2dt0cq3D\n3+omnZP0Pd3+9F8l/baZPWup+UuI/WO31+j0D7YmyseO9vVJMeuPXMPWvlv+VM923BrJ3R9x92+5\n+z9K+g09NRRU/Xpy97Pdv49K+ohOln3sraJq8zJJn3f3R6S2y0eHW4dtMbOflPRjkn6ia0DUDYd8\no3v+OZ0cg/I8Vb4+JuwfVa8PSTKzCyX9uKQPbqa1UD52ta9KVH/kGrY+K+lKM7u8+xV/o05uA1S1\nbgz9vFsjbQpC51WSNmeW7Lw1Uqr5jc3MnmFmz9w818mBv/dp5K2i0s51Eqd+kbZaPnq4dViPmV0v\n6eckvcLd/7Y3/bvN7ILu+RU6WR9fbmB9jNo/al8fnR+W9EV3f3I4rPbysa99Var6I/UZAUMfkl6u\nk7MFHpL0tqXnJ9Eyv0gnXZj3SLq7e7xc0v+WdG83/Q5JF/Xe87ZuHT2oAs8QObI+rtDJ2SB/Ien+\nTTmQ9M8kfVLSlyR9QtJzWlgf3fI9Q9I3JP3T3rRmyodOQuY5Sf+gk2MlXj+lPEi6VieN7kOSfl3d\n3TRKe+xZH2d0cqzJpg55d/faf9/tR3dL+rykf9fI+hi9f9S8Prrp75X0xq3XVl0+tL99TVJ/cLse\nAACAiHIdRgQAAKgCYQsAACAiwhYAAEBEhC0AAICICFsAAAAREbYAAAAiImwBAABE9P8BHezaviG+\nsOcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032a91e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***********************************************************\n",
      "Epoche\n",
      "510\n",
      "Action_times\n",
      "540760\n",
      "Epsilon\n",
      "0.586482476638\n"
     ]
    },
    {
     "data": {
      "image/png": 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LUKcvm9pnmln4B+ow+dIP7u5DDmLv+ZrnJJ2Thh0gXxo6TaAucw6O9A/78cUU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\n+/skfb7n6z1f0tvc/RF3/7S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       "      <td>18.506319</td>\n",
       "      <td>18.076138</td>\n",
       "      <td>18.825205</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R0U2</th>\n",
       "      <td>19.476730</td>\n",
       "      <td>7.137583</td>\n",
       "      <td>18.503410</td>\n",
       "      <td>17.705385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R0U3</th>\n",
       "      <td>19.910837</td>\n",
       "      <td>15.249882</td>\n",
       "      <td>18.696347</td>\n",
       "      <td>18.558944</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R1U0</th>\n",
       "      <td>6.980840</td>\n",
       "      <td>17.921940</td>\n",
       "      <td>18.425875</td>\n",
       "      <td>17.105562</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R1U1</th>\n",
       "      <td>18.888767</td>\n",
       "      <td>18.228938</td>\n",
       "      <td>18.813665</td>\n",
       "      <td>17.940746</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R1U2</th>\n",
       "      <td>19.442148</td>\n",
       "      <td>18.619734</td>\n",
       "      <td>18.609435</td>\n",
       "      <td>18.476077</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R1U3</th>\n",
       "      <td>19.856034</td>\n",
       "      <td>18.832901</td>\n",
       "      <td>18.552309</td>\n",
       "      <td>18.325947</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R2U0</th>\n",
       "      <td>18.168814</td>\n",
       "      <td>17.602436</td>\n",
       "      <td>17.736036</td>\n",
       "      <td>17.678067</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R2U1</th>\n",
       "      <td>18.508655</td>\n",
       "      <td>17.919836</td>\n",
       "      <td>18.277791</td>\n",
       "      <td>18.210938</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R2U2</th>\n",
       "      <td>19.569175</td>\n",
       "      <td>18.626566</td>\n",
       "      <td>18.514079</td>\n",
       "      <td>18.731229</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R2U3</th>\n",
       "      <td>19.855788</td>\n",
       "      <td>18.890839</td>\n",
       "      <td>18.647828</td>\n",
       "      <td>18.759935</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R3U0</th>\n",
       "      <td>17.104827</td>\n",
       "      <td>18.071555</td>\n",
       "      <td>17.520376</td>\n",
       "      <td>18.092232</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R3U1</th>\n",
       "      <td>19.281196</td>\n",
       "      <td>18.316494</td>\n",
       "      <td>18.167739</td>\n",
       "      <td>18.713510</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R3U2</th>\n",
       "      <td>19.736946</td>\n",
       "      <td>18.722752</td>\n",
       "      <td>18.502409</td>\n",
       "      <td>18.836994</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L2R3U3</th>\n",
       "      <td>19.872046</td>\n",
       "      <td>18.876563</td>\n",
       "      <td>18.738002</td>\n",
       "      <td>18.798522</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R0U0</th>\n",
       "      <td>-91.716204</td>\n",
       "      <td>17.999279</td>\n",
       "      <td>18.817967</td>\n",
       "      <td>17.263566</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R0U1</th>\n",
       "      <td>19.802567</td>\n",
       "      <td>18.792364</td>\n",
       "      <td>18.874791</td>\n",
       "      <td>17.720905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R0U2</th>\n",
       "      <td>19.686409</td>\n",
       "      <td>18.730102</td>\n",
       "      <td>18.678676</td>\n",
       "      <td>18.392543</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R0U3</th>\n",
       "      <td>19.899259</td>\n",
       "      <td>18.794495</td>\n",
       "      <td>18.834582</td>\n",
       "      <td>18.405961</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R1U0</th>\n",
       "      <td>-2.794843</td>\n",
       "      <td>18.180627</td>\n",
       "      <td>18.813327</td>\n",
       "      <td>17.386884</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R1U1</th>\n",
       "      <td>19.313397</td>\n",
       "      <td>18.442306</td>\n",
       "      <td>18.747609</td>\n",
       "      <td>18.033462</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R1U2</th>\n",
       "      <td>19.638317</td>\n",
       "      <td>18.704981</td>\n",
       "      <td>18.874735</td>\n",
       "      <td>18.477080</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R1U3</th>\n",
       "      <td>19.933536</td>\n",
       "      <td>18.902512</td>\n",
       "      <td>18.810568</td>\n",
       "      <td>18.602514</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R2U0</th>\n",
       "      <td>-20.782670</td>\n",
       "      <td>17.811255</td>\n",
       "      <td>18.426220</td>\n",
       "      <td>17.799563</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R2U1</th>\n",
       "      <td>19.303379</td>\n",
       "      <td>18.311307</td>\n",
       "      <td>18.477662</td>\n",
       "      <td>18.213960</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R2U2</th>\n",
       "      <td>19.599294</td>\n",
       "      <td>18.707767</td>\n",
       "      <td>18.819917</td>\n",
       "      <td>18.479659</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R2U3</th>\n",
       "      <td>19.787316</td>\n",
       "      <td>18.896833</td>\n",
       "      <td>18.732251</td>\n",
       "      <td>18.668939</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R3U0</th>\n",
       "      <td>14.736281</td>\n",
       "      <td>17.674639</td>\n",
       "      <td>18.194903</td>\n",
       "      <td>17.510255</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R3U1</th>\n",
       "      <td>18.992842</td>\n",
       "      <td>18.042850</td>\n",
       "      <td>18.364456</td>\n",
       "      <td>18.357044</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R3U2</th>\n",
       "      <td>19.333424</td>\n",
       "      <td>18.515372</td>\n",
       "      <td>18.635430</td>\n",
       "      <td>18.683325</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>L3R3U3</th>\n",
       "      <td>19.664901</td>\n",
       "      <td>18.710670</td>\n",
       "      <td>18.804283</td>\n",
       "      <td>18.759285</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>64 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                Up       Down   Left_45D  Right_45D\n",
       "L0R0U0  -67.536610  11.640283  17.150588  12.367501\n",
       "L0R0U1    6.654713   9.516276  15.448972  10.508738\n",
       "L0R0U2    6.559779   0.697308   2.404159   3.768069\n",
       "L0R0U3    6.520115 -57.682526   8.336322  16.997943\n",
       "L0R1U0 -102.978632  16.833032  17.199455  16.896472\n",
       "L0R1U1   18.452031  17.031532  17.207711  18.624078\n",
       "L0R1U2   13.318777   8.045722  16.275604  12.162219\n",
       "L0R1U3   19.886269  11.446246  17.528567  16.176842\n",
       "L0R2U0  -34.706212  17.810629  17.075059  18.461739\n",
       "L0R2U1   19.324470  18.372588  17.497570  18.411626\n",
       "L0R2U2   18.246250  17.717400  17.305042  18.553163\n",
       "L0R2U3   19.837220  18.792421  18.097381  18.698303\n",
       "L0R3U0   11.860184  17.948706  17.408293  18.802854\n",
       "L0R3U1   19.642562  15.195232  17.705804  18.849663\n",
       "L0R3U2   19.702300  18.695961  17.944722  18.682128\n",
       "L0R3U3   19.933534  18.891109  18.238792  18.831899\n",
       "L1R0U0   17.808716  17.621541  18.532932  17.007926\n",
       "L1R0U1   18.368515  13.643389  18.471525  17.196145\n",
       "L1R0U2   15.817782 -52.231935  14.720276  18.224358\n",
       "L1R0U3   19.887444  16.145082  18.026151  18.414875\n",
       "L1R1U0 -124.565555  17.450047  17.926006  17.607410\n",
       "L1R1U1   18.709218  17.876612  18.165942  18.004619\n",
       "L1R1U2   19.635009  18.571070  18.205158  18.289497\n",
       "L1R1U3   19.819534  17.057208  18.544726  18.676824\n",
       "L1R2U0   18.072731  17.896360  16.995900  17.585699\n",
       "L1R2U1   18.913474  18.153357  17.935374  18.528020\n",
       "L1R2U2   19.541340  18.539102  18.299965  18.761277\n",
       "L1R2U3   19.904636  18.875706  18.580854  18.702129\n",
       "L1R3U0  -47.682103  17.978362  17.378905  18.440503\n",
       "L1R3U1   19.228452  18.506319  18.076138  18.825205\n",
       "...            ...        ...        ...        ...\n",
       "L2R0U2   19.476730   7.137583  18.503410  17.705385\n",
       "L2R0U3   19.910837  15.249882  18.696347  18.558944\n",
       "L2R1U0    6.980840  17.921940  18.425875  17.105562\n",
       "L2R1U1   18.888767  18.228938  18.813665  17.940746\n",
       "L2R1U2   19.442148  18.619734  18.609435  18.476077\n",
       "L2R1U3   19.856034  18.832901  18.552309  18.325947\n",
       "L2R2U0   18.168814  17.602436  17.736036  17.678067\n",
       "L2R2U1   18.508655  17.919836  18.277791  18.210938\n",
       "L2R2U2   19.569175  18.626566  18.514079  18.731229\n",
       "L2R2U3   19.855788  18.890839  18.647828  18.759935\n",
       "L2R3U0   17.104827  18.071555  17.520376  18.092232\n",
       "L2R3U1   19.281196  18.316494  18.167739  18.713510\n",
       "L2R3U2   19.736946  18.722752  18.502409  18.836994\n",
       "L2R3U3   19.872046  18.876563  18.738002  18.798522\n",
       "L3R0U0  -91.716204  17.999279  18.817967  17.263566\n",
       "L3R0U1   19.802567  18.792364  18.874791  17.720905\n",
       "L3R0U2   19.686409  18.730102  18.678676  18.392543\n",
       "L3R0U3   19.899259  18.794495  18.834582  18.405961\n",
       "L3R1U0   -2.794843  18.180627  18.813327  17.386884\n",
       "L3R1U1   19.313397  18.442306  18.747609  18.033462\n",
       "L3R1U2   19.638317  18.704981  18.874735  18.477080\n",
       "L3R1U3   19.933536  18.902512  18.810568  18.602514\n",
       "L3R2U0  -20.782670  17.811255  18.426220  17.799563\n",
       "L3R2U1   19.303379  18.311307  18.477662  18.213960\n",
       "L3R2U2   19.599294  18.707767  18.819917  18.479659\n",
       "L3R2U3   19.787316  18.896833  18.732251  18.668939\n",
       "L3R3U0   14.736281  17.674639  18.194903  17.510255\n",
       "L3R3U1   18.992842  18.042850  18.364456  18.357044\n",
       "L3R3U2   19.333424  18.515372  18.635430  18.683325\n",
       "L3R3U3   19.664901  18.710670  18.804283  18.759285\n",
       "\n",
       "[64 rows x 4 columns]"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AWJWZOe0PfO0xetfND2ZOdSBaH2P61cX96nVbVAPBDKwcte9Z6S8Olvl36HvX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      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0329d64e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def Run1():\n",
    "    global Epoche\n",
    "    global Action_times\n",
    "    global Epoche_action_interval\n",
    "    Crash=False\n",
    "    Current_x,Current_y,Current_a=Random_start()\n",
    "    Epoche_false=0\n",
    "    Vec_x=[]\n",
    "    Vec_y=[]\n",
    "    Vec_x.append(Current_x)\n",
    "    Vec_y.append(Current_y)\n",
    "    Epoche_action_times=0\n",
    "    while Epoche_false<400:\n",
    "        Current_Left_Obs_Lev=Direction_min_level(Left_D,Current_x,Current_y,Current_a)\n",
    "        Current_Right_Obs_Lev=Direction_min_level(Right_D,Current_x,Current_y,Current_a)\n",
    "        Current_Up_Obs_Lev=Direction_min_level(Up_D,Current_x,Current_y,Current_a)\n",
    "        Current_state=Output_state_index(Current_Left_Obs_Lev,Current_Right_Obs_Lev,Current_Up_Obs_Lev)\n",
    "        \n",
    "        Action_next=Choose_action(Q_Table,Current_state,Action_times)\n",
    "        Next_x,Next_y,R,Next_a,Crash=Next_state_F(Current_x,Current_y,Action_next,Current_a)\n",
    "        \n",
    "        if Crash==True:\n",
    "            Q_target=R\n",
    "            if(Epoche%10==0):\n",
    "                print('***********************************************************')\n",
    "                print('Epoche')\n",
    "                print(Epoche)\n",
    "                print(\"Action_times\")\n",
    "                print(Action_times)\n",
    "                print(\"Epsilon\")\n",
    "                print(Epsilon_final+(Epsilon_start-Epsilon_final)*np.exp(-1*Decay_Rate*Action_times))\n",
    "                Plot_Move(Vec_x,Vec_y)\n",
    "                Vec_x=[]\n",
    "                Vec_y=[]\n",
    "            Epoche+=1\n",
    "            Epoche_false+=1\n",
    "            Next_x,Next_y,Next_a=Random_start()\n",
    "            Epoche_action_interval.append(Epoche_action_times)\n",
    "            Epoche_action_times=0\n",
    "        \n",
    "        else:\n",
    "            Next_Left_Obs_Lev=Direction_min_level(Left_D,Next_x,Next_y,Next_a)\n",
    "            Next_Right_Obs_Lev=Direction_min_level(Right_D,Next_x,Next_y,Next_a)\n",
    "            Next_Up_Obs_Lev=Direction_min_level(Up_D,Next_x,Next_y,Next_a)\n",
    "            Next_state=Output_state_index(Next_Left_Obs_Lev,Next_Right_Obs_Lev,Next_Up_Obs_Lev)\n",
    "            Q_target=R+Beta*max(Q_Table[Next_state])\n",
    "            \n",
    "        Q_Table[Current_state][Action_next]+=Alpha*(Q_target-Q_Table[Current_state][Action_next])\n",
    "        Current_x=Next_x\n",
    "        Current_y=Next_y\n",
    "        Current_a=Next_a\n",
    "        Vec_x.append(Current_x)\n",
    "        Vec_y.append(Current_y)\n",
    "        Action_times+=1\n",
    "        Epoche_action_times+=1\n",
    "    plt.plot(np.arange(len(Epoche_action_interval)),Epoche_action_interval)\n",
    "    return Q_Table\n",
    "print()\n",
    "Q_Table_Final=Run1()\n",
    "Q_Table_Final=pd.DataFrame(Q_Table_Final,columns=Actions,index=States)\n",
    "Q_Table_Final\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[]\n"
     ]
    },
    {
     "data": {
      "image/png": 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dvmHvTPKZ1toVST4z/JyqujLJDUleMjzm/VV1wfCYm5O8JckVw2X/cwIAbJ3zxlZr7bNJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032e78898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "******************\n",
      "\n",
      "0\n",
      "******************\n"
     ]
    },
    {
     "data": {
      "image/png": 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AJyW02KZtLNn63iQfba09nCSttYdba0+01r6U5Ffz1KrCC0mu2rjfld00FsaqOmDOhBbb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\n1oIQLbdeBwsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032e5e7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "******************\n",
      "\n",
      "10000\n",
      "******************\n"
     ]
    },
    {
     "data": {
      "image/png": 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lsisNcAxzD3JrHegc5jzc3Psi47rKOVvfV1UfHA4zvmhYdneST+98zVPDsruH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\n0f8PvYKGSgocqykAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0334f7c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "******************\n",
      "\n",
      "20000\n",
      "******************\n"
     ]
    },
    {
     "data": {
      "image/png": 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AYFzOsmbrg0luOTbt3Uk+3Vq7Lsmnu69TVdcnuTXJy7r7/FJVXdbd5/Ykb05yXXc5/pgA\nALNzamy11j6T5FvHJr86yYe66x9K8pqV6R9trT3ZWvtakvNJbq6qK5I8v7V2T2utJfnwyn0AAGbr\n3Ib3e1Fr7dHu+h8keVF3/cok96zc7pFu2p92149PP1FV3Zbktg3HBjAKVZWDvy8ZoynszWL5mYdN\nY+sZrbVWVTtdGlprdyS5I0l2/dgAfZnCmzewf5t+GvGxbtNgun8f76ZfSHL1yu2u6qZd6K4fnw4w\naVX1zOVi3weWbdPYujvJG7vrb0zy8ZXpt1bVc6rqmhzsCP/ZbpPjE1X18u5TiG9YuQ/ApJwWWACr\nTt2MWFUfSfJjSb63qh5J8vNJ/lWSu6rqTUm+keR1SdJae7Cq7kryUJKnkry9tfZ091Bvy8EnG78n\nySe6C8AkCCtgUzX2ne/W2Wdr7K8FmJZdBpbfT+MzhYC23OzWOv/nrbWdLSBb7yAPMCdTeAMGpkVs\nAYsnsIA+iS1gccQVsE9ORA0sxpCfIBR4sFzWbAGzJXCAMRBbwKwILGBsxBYweQILGDOxBUzSFAPL\nialhmcQWMAlTjCuAxKcRgZGb2zkI5/RagLOxZgsYFTECzI3YAgYnsIA5E1vA3okrYEnsswXsldAy\nD2BpxBawVw59ACyN2AL2rrUmuoDFEFvAYJYcXDYlwnKILWBQSw4uYBnEFjA4wQXMmdgCRmHqwXW4\nH9o6+6PZlAjL4DhbwGi01mYTIBcLrrm8PuDsxNaKKfwSnPpf/3Caw2V8Cj+Ph9b5ufQzDMtjMyIA\nQI/EFjBKUzkW1xTGCAxLbAGjJmaAqRNbwOiNNbjGOi5gXMQWMAnCBpgqsQVMxpiCa0xjAcZNbAGT\nInKAqRFbwORM5ZOKAInYAiZsqOASesA6xBYwacIHGDuxBUzePoNL3AHrElvALIggYKzEFjAbfQeX\noAM2cW7oAQDs0mEQVdXAI2HsxDP7Ys0WMEu7fiP1xgxsSmwBsyWQgDEQW8Cs7SK4RBuwDbEFzJ5Y\nAoYktoBFEFzAUMQWsBibBJdIA7YltoBFcRJrYN/EFrBIZwkuUQbsgtgCFktMAfvgCPLAorXWTjza\n/LYhdvvtt291f5brrW9969BDYMdq7H/ZVdWZB7jta5nC6T3G/v8FU3X853/TnzWRxa6Irt1b532+\ntbazKLAZESBH40poMQaWp/mwZuvoc211/30Y+/8Xu2FZnB5vjPTFGq7dsWYLYKKEFn2yfE2f2ALY\ngjdC9sFyNm1iC2BD3gCBsxBbABsQWuybZW66xBbAmrzpAesQWwBrEFrAusQWwBkJLWATYgvgDIQW\nsCmxBXAKoQVsQ2wBXILQArZ1amxV1Z1V9XhVPbAy7d9W1Zeq6otV9bGq+gvd9BdX1Z9U1X3d5ZdX\n7nNjVd1fVeer6v01hfORAIsmtIBdOMuarQ8mueXYtE8m+Suttb+a5PeTvGflew+31m7oLm9ZmX57\nkjcnua67HH9MgNEQWsCunBpbrbXPJPnWsWn/o7X2VPflPUmuutRjVNUVSZ7fWrunHZy99sNJXrPZ\nkAH6JbSAXTq3g8f46SS/tvL1NVV1X5L/m+RftNb+d5IrkzyycptHumknqqrbkty2g7Gt5aADgSUT\nWsCubRVbVfVzSZ5K8ivdpEeT/EBr7Q+r6sYk/6WqXrbu47bW7khyR/ccCgjYC6EF9GHj2Kqqn0ry\nd5L8eLdpMK21J5M82V3/fFU9nOQlSS7k6KbGq7ppAKMgtIC+bHToh6q6Jck/T/ITrbX/tzL9+6rq\nsu76tTnYEf6rrbVHkzxRVS/vPoX4hiQf33r0ADsgtIA+neXQDx9J8ttJXlpVj1TVm5L8YpLnJfnk\nsUM8/GiSL3b7bP1Gkre01g53rn9bkv+Y5HySh5N8YrcvBWB9QoupeOc73zn0ENhQjX2n8HX22Rr7\na4GzmsJh6Obw8zZkaL31rW8d7Lnp3+WXX55f+IVf2OljvvOd78y3v/3tnT7m0qzzu7W1trNfxI4g\nDyyS0KJP3/72t62J4hliC1gcocW+7Cq4rNWaNrEFLIrQYt+2DS5ryKZPbAGLIbTYp9U1UZsGk9Ca\nBzvIwwjZQX73hBZDufzyy498fZYd549Hlk2IuzHUDvJiC0ZIbO2W0GJox4NrHUJrd3waEaAHQosx\n2DSYhNY87OJE1ACjJLQYk8NwOstaLpE1L2ILmCWhxVgJqeWxGRGYHaEFjInYAmZFaAFjI7aA2RBa\nwBiJLWAWhBYwVmILmDyhBYyZ2AImTWgBYye2gMkSWsAUiC1gkoQWMBViC5gcoQVMidgCJkVoAVMj\ntoDJEFrAFIktYBKEFjBVTkQNI9RaG3oIoyK0gCmzZgsYNaEFTJ3YAkZLaAFzILaAURJawFyILWB0\nhBYwJ2ILGBWhBcyN2AJGQ2gBcyS2gFEQWsBciS1gcEILmDOxBQxKaAFzJ7aAwQgtYAnEFjAIoQUs\nhdgC9k5oAUsitoC9ElrA0pwbegDAcgitcaiqM92utdbzSGAZxBawF0JrOGeNq9PuJ75gMzYjAr0T\nWsPZNLT6fixYErEF9EpoDaOqeokjwQXrE1tAb4TWMPoOor5CDuZKbAG9EFrD2GcECS44G7EF7JzQ\nGsYQ8SO44HRiC9gpoTWMIaNHcMGliS1gZ4TWMMYQO2MYA4yV2AJ2QmgNQ+TA+IktYGtCi0T4wcWI\nLWArQms4Y4ybMY4Jhia2gI0JLYDTiS1gI0IL4GzEFrA2oTW8MW+uG/PYYAhiC1iL0AJYj9gCzkxo\nAaxPbAFnIrQANiO2gFMJrXGxTxRMi9gCLkloAWxHbAEXJbQAtie2gBMJLYDdEFvAdxFaALsjtoAj\nhNb4tdaGHgKwhlNjq6rurKrHq+qBlWnvraoLVXVfd3nVyvfeU1Xnq+rLVfWKlek3VtX93ffeXz5O\nA6MjtAB27yxrtj6Y5JYTpv+H1toN3eW/JklVXZ/k1iQv6+7zS1V1WXf725O8Ocl13eWkxwQGIrQA\n+nFqbLXWPpPkW2d8vFcn+Whr7cnW2teSnE9yc1VdkeT5rbV72sH67w8nec2mgwZ2S2ixSzZzwlHb\n7LP1jqr6YreZ8QXdtCuTfHPlNo90067srh+ffqKquq2q7q2qe7cYH3AGQmuaBA1Mx6axdXuSa5Pc\nkOTRJO/b2YiStNbuaK3d1Fq7aZePCxwltAD6t1FstdYea6093Vr7TpIPJLm5+9aFJFev3PSqbtqF\n7vrx6cBAhNb0jXHt1hjHBEPbKLa6fbAOvTbJ4ScV705ya1U9p6quycGO8J9trT2a5Imqenn3KcQ3\nJPn4FuMGtiC0APbn3Gk3qKqPJPmxJN9bVY8k+fkkP1ZVNyRpSb6e5GeSpLX2YFXdleShJE8leXtr\n7enuod6Wg082fk+ST3QXYM+E1ry01kZzYmprteBkNfYfjqo68wDH/lpgaEJrnsYQW37/MgXr/Ky0\n1nb2g+UI8rAQQmu+hA6Mm9iCBRBa8zdkcIk9uDSxBTMntJZjiOgRWnA6sQUzJrSWZ5/xI7TgbE79\nNCIwTUJruQ4jqK8d50UWrEdswQwJLZLdR5fIgs3YjAgzI7Q4bheRJLRgc9ZswYwILS7meCydtrZL\nXMHuiC2YCaHFOsQU7I/NiDADQgtgvMQWTJzQAhg3sQUTJrQAxk9swUQJLYBpEFswQUILYDrEFkyM\n0AKYFrEFEyK0AKZHbMFECC2AaRJbMAFCC2C6xBaMnNACmDaxBSMmtACmT2zBSAktgHlwImrOpKou\n+X0ntd0toQUwH2KLizotsC52W+G1HaEFMC9ii++yTmSddn/htR6hBTA/9tniGVW1dWid9JicjdAC\nmCexRZJ+o6iPiJsboQUwX2Jr4fYZQoLrZEILYN7E1oINET+C6yihBTB/YmuhhowewXVAaAEsg9hi\nEEsPLqEFsBxia4GWHjpDE1oAyyK2GMwSo09oASyP2FqYJQbOWAgtgGUSWwsyxtAa45j6ILQAlkts\nQc+EFsCyiS0GN+e1W0ILALG1EHMOmrESWgAkYgt6IbQAOCS2YMeEFgCrxBajMJfNnEILgOPEFuyI\n0ALgJGILdkBoAXAxYgu2JLQAuBSxBVsQWgCcRmwxCq21oYewNqEFwFmILdiA0ALgrMQWrEloAbAO\nsQVrEFoArEtsLcSY94ka89hWCS0ANiG24AyEFgCbElsLMpU1SGMjtADYhthiUGMPQKEFwLbE1sKM\nPW7GRGgBsAtii8GMOfyEFgC7IrYWaAyRM4YxXIzQAmCXxNZCDRk7QutkQgtgnsTWgg0RPULrZEIL\nYL7E1sLtM36E1smEFsC8iS3SWus9hITWyYQWwPydGltVdWdVPV5VD6xM+7Wquq+7fL2q7uumv7iq\n/mTle7+8cp8bq+r+qjpfVe+vqurnJbGpPoJoHyG3DaEFQN/OneE2H0zyi0k+fDihtfYPDq9X1fuS\n/N+V2z/cWrvhhMe5Pcmbk/xOkv+a5JYkn1h/yPTpMIx20cJjjqxEaAGwH6eu2WqtfSbJt076Xrd2\n6nVJPnKpx6iqK5I8v7V2Tzt4B/5wktesP1z25XCN1DrBtHofoXVxQgtgWbbdZ+tHkjzWWvvKyrRr\nuk2I/6uqfqSbdmWSR1Zu80g37URVdVtV3VtV9245PnbgeERd7DIVQguAfTrLZsRLeX2OrtV6NMkP\ntNb+sKpuTPJfqupl6z5oa+2OJHckSVVN512c0RNaAOzbxrFVVeeS/L0kNx5Oa609meTJ7vrnq+rh\nJC9JciHJVSt3v6qbBnsjtAAYwjabEf9mki+11p7ZPFhV31dVl3XXr01yXZKvttYeTfJEVb2828/r\nDUk+vsVzw1qEFgBDOcuhHz6S5LeTvLSqHqmqN3XfujXfvWP8jyb5YncoiN9I8pbW2uHO9W9L8h+T\nnE/ycHwSkT0RWgAMqca+Y/M6+2yN/bWwf0ILgEPrHNaotbaz44E6gjyzJbQAGINtP40Io7TU0JrC\niRmsgQaWxpotZmepoQXAOIktZkVoATA2YovZEFoAjJF9ttjK8cAZKjqE1oHW2iT22wJYEod+YCNn\niZt9RYjQOmrMseVnFBjSUId+EFusZZOw6TNIhNZ3E1sAJxNbFyG2xmHbqOkjTITWycQWwMkc1JRZ\n23UYCa2LG2vQjHVcAH0TW5xqV2EztsfZxNhDC4DxEVtc0tjWSAmtsxnbWqSxjQdgn8QWe7dpMAmt\n9YwlcMYyDoChiC0GsW44CS0ApkpscVF9B85ZH19obW7otUpDPz/AGIgtBnVaSAmt7Q0VPEIL4IDY\nYnAXCyqhtTv7Dh+hBfAsscUoHA8robV7+wogoQVwlNhiNA4DS2j1p7XWWwz1+dgAU+Z0PVzSkOGz\nb3MPrZPs4tQ+fu6AqRjqdD3ndvVAMGVLDK3k2VDaJLpEFsDZWLPFqea+dmupoQWwNE5EDQMQWgD0\nTWxxqrkGyVxfFwDjIrY4k7mFydxeDwDjJbY4s7kEylxeBwDTILZYy9RDZerjB2B6xBZrm2qwTHXc\nAEyb2GIjUwuXqY0XgPkQW2xsKgEzlXECME9ii62MPWTGPj4A5k9ssbWxBs1YxwXAsogtdmJsYTO2\n8QCwXGKLnRlL4IxlHACQiC12bOjQGfr5AeA4scXODRU8QguAMRJb9GLf4SO0ABgrsUVv9hVAQguA\nMRNb9KrvEBJaAIxdtdaGHsMlVdWZBzj217J0t99++84eS2QBsK6qOvNtW2tnv/Fpzzv2QBFb87NN\ndIksADYlti5CbAEAuzBUbNlnCwCgR2ILAKBHYgsAoEdiCwCgR2ILAKBHYgsAoEdiCwCgR2ILAKBH\nYgsAoEfnhh7ALq1zZFgAgH2wZgsAoEdiCwCgR2ILAKBHYgsAoEdiCwCgR2ILAKBHYgsAoEenxlZV\nXV1V/7OqHqqqB6vqnd30F1bVJ6vqK92/L1i5z3uq6nxVfbmqXrEy/caqur/73vvLgbEAgJk7y5qt\np5L809ba9UlenuTtVXV9kncn+XRr7bokn+6+Tve9W5O8LMktSX6pqi7rHuv2JG9Ocl13uWWHrwUA\nYHROja3W2qOttS901/8oye8luTLJq5N8qLvZh5K8prv+6iQfba092Vr7WpLzSW6uqiuSPL+1dk9r\nrSX58MrEh1eTAAAF10lEQVR9AABmaa3T9VTVi5P8YJLfSfKi1tqj3bf+IMmLuutXJrln5W6PdNP+\ntLt+fPpJz3Nbktu6L59M8sA645y5703yf4YexIiYH0eZH0eZH0eZH0eZH88yL4566S4f7MyxVVV/\nLslvJnlXa+2J1d2tWmutqtquBtVauyPJHd3z3ttau2lXjz115sdR5sdR5sdR5sdR5sdR5sezzIuj\nqureXT7emT6NWFV/Ngeh9Suttd/qJj/WbRpM9+/j3fQLSa5euftV3bQL3fXj0wEAZussn0asJP8p\nye+11v79yrfuTvLG7vobk3x8ZfqtVfWcqromBzvCf7bb5PhEVb28e8w3rNwHAGCWzrIZ8YeS/GSS\n+6vqvm7azyb5V0nuqqo3JflGktclSWvtwaq6K8lDOfgk49tba09393tbkg8m+Z4kn+gup7njbC9l\nMcyPo8yPo8yPo8yPo8yPo8yPZ5kXR+10ftTBBwMBAOiDI8gDAPRIbAEA9Gi0sVVVt3Sn+zlfVe8e\nejz7cIlTI723qi5U1X3d5VUr9znx1EhzUVVf707xdN/hR3E3OVXUHFTVS1eWgfuq6omqeteSlo+q\nurOqHq+qB1amLfbUYReZH/+2qr5UVV+sqo9V1V/opr+4qv5kZTn55ZX7zHl+rP3zMfP58Wsr8+Lr\nh/tiz335uMT7635+f7TWRndJclmSh5Ncm+TyJL+b5Pqhx7WH131Fkr/WXX9ekt9Pcn2S9yb5Zyfc\n/vpu3jwnyTXdPLts6Nex43ny9STfe2zav0ny7u76u5P866XMj5V5cFkODib8l5e0fCT50SR/LckD\n2ywPST6bg9OPVQ4+qPPKoV/bDufH305yrrv+r1fmx4tXb3fsceY8P9b++Zjz/Dj2/fcl+ZdLWD5y\n8ffXvfz+GOuarZuTnG+tfbW19u0kH83BaYBmrV381EgXc+Kpkfof6eDWOlXUAOPbhx9P8nBr7RuX\nuM3s5kdr7TNJvnVs8mJPHXbS/Git/Y/W2lPdl/fk6PENv8vc58clLHL5ONStjXldko9c6jHmMj8u\n8f66l98fY42tK5N8c+Xri57aZ67q6KmRkuQd3WaBO1dWcy5hPrUkn6qqz9fBaZySS58qau7z49Ct\nOfpLcqnLR7L+8nBlznjqsBn46Rw9xM413Sai/1VVP9JNW8L8WOfnYwnzI0l+JMljrbWvrExbxPJx\n7P11L78/xhpbi1bHTo2U5PYcbFK9IcmjOVj1uxQ/3Fq7Ickrk7y9qn509ZvdXxaLOn5JVV2e5CeS\n/Ho3acnLxxFLXB4upqp+LgfHOvyVbtKjSX6g+3n6J0l+taqeP9T49sjPx8len6N/sC1i+Tjh/fUZ\nff7+GGtsXeyUP7NXJ5waqbX2WGvt6dbad5J8IM9uCpr9fGqtXej+fTzJx3Lw2tc9VdTcvDLJF1pr\njyXLXj46Th12TFX9VJK/k+Qfdm8g6TaH/GF3/fM52AflJZn5/Njg52PW8yNJqupckr+X5NcOpy1h\n+Tjp/TV7+v0x1tj6XJLrquqa7q/4W3NwGqBZ67ahf9epkQ4XhM5rkxx+suTEUyPta7x9q6rnVtXz\nDq/nYMffB7LmqaL2O+q9OPIX6VKXjxVOHbaiqm5J8s+T/ERr7f+tTP++qrqsu35tDubHVxcwP9b6\n+Zj7/Oj8zSRfaq09szls7svHxd5fs6/fH/v+RMBZL0lelYNPCzyc5OeGHs+eXvMP52AV5heT3Ndd\nXpXkPye5v5t+d5IrVu7zc908+nIm+AmRU+bHtTn4NMjvJnnwcDlI8heTfDrJV5J8KskLlzA/utf3\n3CR/mOTPr0xbzPKRg8h8NMmf5mBfiTdtsjwkuSkHb7oPJ/nFdGfTmNrlIvPjfA72NTn8HfLL3W3/\nfvdzdF+SLyT5uwuZH2v/fMx5fnTTP5jkLcduO+vlIxd/f93L7w+n6wEA6NFYNyMCAMyC2AIA6JHY\nAgDokdgCAOiR2AIA6JHYAgDokdgCAOjR/wdHDL8hEhF7sgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a03349c5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "******************\n",
      "\n",
      "30000\n",
      "******************\n"
     ]
    },
    {
     "data": {
      "image/png": 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7cp+rqurOqjpdVe+uqurnR+Ko+giiIUIOAKbsxAFu8/4kv5Pkg9sLWmv/evt6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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a033a55780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "******************\n",
      "\n",
      "40000\n",
      "******************\n"
     ]
    },
    {
     "data": {
      "image/png": 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q6uYkdyd5JMkN9kQEAObuSLHVWvt/Sb7/tGk/c477vzPJO4/ymgAA28QR5AEAOhJbAAAd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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032c41be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "******************\n",
      "\n",
      "50000\n",
      "******************\n"
     ]
    },
    {
     "data": {
      "image/png": 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V1bKHAACwgyVbAAAdiS0AgI7EFgBAR2ILAKAjsQUA0JHYAgDoSGwBAHS0b2xV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\njsQWAEBHYgsAoCOxBQDQkdgCAOjo/wMW+hGJbTAHEwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0342bac88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "******************\n",
      "\n",
      "60000\n",
      "******************\n"
     ]
    },
    {
     "data": {
      "image/png": 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iC2DmeoidHuYBeiW2AGZM5ED/xBYAOyH84GRiC2CmeoybHucJpia2AABGJLYA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\nFgDAiP5/3Epr6ZdjAZIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0338c3828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "******************\n",
      "\n",
      "70000\n",
      "******************\n"
     ]
    },
    {
     "data": {
      "image/png": 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ngI5sIA8A0JHYAgDoSGwBAHQktgAAOhJbAAAdiS0AgI7EFgBAR2ILAKAjsQUA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\nR/8f0F6be451N3MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a033af0828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "******************\n",
      "\n",
      "80000\n",
      "******************\n"
     ]
    },
    {
     "data": {
      "image/png": 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XDPV8boB1JrZgTR31OFzLCiORBXB2YgvW2DJO7XPYUBJZAPsjtmDNLeM4XNvh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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a032beec50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "******************\n",
      "\n",
      "90000\n",
      "******************\n"
     ]
    }
   ],
   "source": [
    "def test(Q_Table_):\n",
    "    Crash=False\n",
    "    Current_x,Current_y,Current_a=Random_start()\n",
    "    Test_time=0\n",
    "    Vec_x=[]\n",
    "    Vec_y=[]\n",
    "    print(Vec_x)\n",
    "    while Test_time<100000:\n",
    "        Current_Left_Obs_Lev=Direction_min_level(Left_D,Current_x,Current_y,Current_a)\n",
    "        Current_Right_Obs_Lev=Direction_min_level(Right_D,Current_x,Current_y,Current_a)\n",
    "        Current_Up_Obs_Lev=Direction_min_level(Up_D,Current_x,Current_y,Current_a)\n",
    "        Current_state=Output_state_index(Current_Left_Obs_Lev,Current_Right_Obs_Lev,Current_Up_Obs_Lev)\n",
    "        Action_next=np.argmax(Q_Table_[Current_state])\n",
    "#         print('Current_state')\n",
    "#         print(Current_state)\n",
    "#         print('Action_next')\n",
    "#         print(Action_next)\n",
    "        Next_x,Next_y,R,Next_a,Crash=Next_state_F(Current_x,Current_y,Action_next,Current_a)\n",
    "#         print(Current_a%360)\n",
    "        \n",
    "        Vec_x.append(Current_x)\n",
    "        Vec_y.append(Current_y)\n",
    "        if Crash==True:\n",
    "            print('Boom')\n",
    "            print(Test_time)\n",
    "            break\n",
    "        else:\n",
    "            if(Test_time%10000==0):\n",
    "                Plot_Move(Vec_x,Vec_y)\n",
    "                Vec_x=[]\n",
    "                Vec_y=[]\n",
    "                Next_x,Next_y,Current_a=Random_start()\n",
    "                print(\"******************\")\n",
    "                print()\n",
    "#                 print(im.getpixel((Mext_x,Next_y)))\n",
    "                print(Test_time)\n",
    "                print(\"******************\")\n",
    "        Current_x=Next_x\n",
    "        Current_y=Next_y\n",
    "        Current_a=Next_a\n",
    "        Test_time+=1\n",
    "test(Q_Table_Final.as_matrix())\n",
    "np.savetxt(\"Q_Table.txt\",Q_Table_Final.as_matrix())\n",
    "            "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Up           18.879814\n",
       "Down         17.918161\n",
       "Left_45D     16.050067\n",
       "Right_45D    18.534211\n",
       "Name: L1R3U2, dtype: float64"
      ]
     },
     "execution_count": 111,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q_Table_Final.iloc[30,:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3, 3, 3])"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([1,1,1])+2"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
